本文主要研究复Landsberg度量以及复Finsler度量的双扭曲积.我们研究了复Landsberg度量、实Landsberg度量、实Berwald度量、复Berwald度量以及弱的复Berwald度量之间的关系，考虑了这些特殊度量的构造问题，并尝试寻找复Finsler几何中的“独角兽”度量，即非Kaehler-Berwald的复Landsberg度量.扭曲积是Riemann几何和实Finsler几何中构造特殊度量的一个重要手段，本文将它推广到了复Finsler几何中，研究了复Finsler度量的双扭曲积及其相关性质. 在第三章，我们研究一些特殊的实和复Finsler度量之间的关系.我们主...In this thesis, we mainly study complex Landsberg metric and doubly warped product (DWP) of complex Finsler metrics. We study the relationships among complex Landsberg metric, real Landsberg metric, real Berwald metric, complex Berwald metric and weakly complex Berwald metric, and consider the construction of some special complex Finsler metrics. We also try to find the ``unicorn" metric in comple...学位：理学博士院系专业：数学科学学院_基础数学学号：1902013015414

何勇

Xiamen University Institutional Repository

Æ?èµ10384ÆÒµ19020130154147©aÒ ?UDCÆ ¬ Æ   Ø ©E LandsbergÝþ9E FinslerÝþVÛ­ÈComplex Landsberg metric and doubly warped product ofcomplex Finsler metricsÛ ]6¶µ ¨ S ² Ç;  ¶ ¡µ Ä : ê ÆØ©JFÏµ 2 0 1 6 c 5 Ø©Fmµ 2 0 1 6 c 5 Æ ÇFÏµ 2 0 1 6 c F¬ÌRµµ  <µ2016c 4 厦门大学博硕士论文摘要库厦门大学博硕士论文摘要库fÆÆ Ø©M5(²<¥Æ Ø©´<3e, Õá¤ïÄ¤J"<3Ø©¥ëÙ¦<½8N®²uLïÄ¤J,þ3©¥±·ª²(I²,¿ÎÜ{Æ5Ú5fÆïÄ)Æâ¹Ä5£Á1¤6"TÆ Ø©I[g,ÆÄ7£8]ÏÒµ11271304,11171277, 11571288, 11461064¤!4ïg,ÆÄ7-#ÑcÆÄ7£8]ÏÒµ2013J06001¤]Ï"(²<£\¶¤µc  F厦门大学博硕士论文摘要库厦门大学博硕士论文摘要库fÆÆ Ø©Í¦^(²<Ó¿fÆâ5¥u<¬ÚIÆ ^~61¢{65½3Ú¦^dÆ Ø©,¿Ì+Ü½Ù½ÅxÆ Ø©£)Ú>f¤,#NÆ Ø©?\fÆãÖ,9Ùêâ¥!/"<Ó¿fÆòÆ Ø©\\IÆ¬!a¬Æ Ø©ïü êâ¥?1u¢,òÆ Ø©IKÚÁ®?Ñ,æ^K<! <½öÙ§ªÜnEÆ Ø©"  Æ Ø©áuµ  £ ¤1.²fÆ¬"Ø½Æ Ø©,u  c    F),) ·^þãÇ"  £ ¤2.Ø,·^þãÇ"  £3±þA)ÒS/K0½WþASN"Æ Ø©A´®²fÆ¬"½LÆ Ø©,²fÆ¬"½Æ Ø©þúmÆ Ø©"d(²9ØW,%@úmÆ Ø©,þ·^þãÇ"¤(²<£\¶¤µc  F厦门大学博硕士论文摘要库厦门大学博硕士论文摘要库Á ©ÌïÄE LandsbergÝþ±9E FinslerÝþVÛ­È.·ïÄELandsbergÝþ!¢ LandsbergÝþ!¢ BerwaldÝþ!E BerwaldÝþ±9fEBerwaldÝþm'X,ÄùAÏÝþE¯K,¿}ÁÏéE FinslerAÛ¥/ÕË0Ýþ,= Ka¨hler-BerwaldE LandsbergÝþ. Û­È´ RiemannAÛÚ¢ FinslerAÛ¥EAÏÝþ­Ãã,©ò§í2E FinslerAÛ¥,ïÄE FinslerÝþVÛ­È9Ù'5.31nÙ,·ïÄAÏ¢ÚE FinslerÝþm'X.·Ìy²µXJ F ´E6/M þràf Ka¨hler FinslerÝþ,KeØãdµ(i) F ´¢ BerwaldÝþ;(ii) F ´¢ LandsbergÝþ;(iii) F ´E BerwaldÝþ;(iv) F ´fE BerwaldÝþ.·y²: XJ F ´E6/M þràf Ka¨hler FinslerÝþ,Óq´¢ LandsbergÝþ,@o F ½´E LandsbergÝþ. ·EAÏE FinslerÝþ,XràE BerwaldÝþ!ràE LandsbergÝþ.31oÙ,·ÌïÄE FinslerÝþVÛ­È.Äk,·ÑE FinslerÝþVÛ­Èp Chern-Finsler éä!E Rund éä!E Berwald éä!EHashiguchi éäLª, ùE Finsler éä©OdVÛ­È6/©þ6/þAE Finsler éäL«. Ùg, ·ÑE Finsler ÝþVÛ­ÈX­Ç!Ricciêþ­ÇÚ¢ÿ/Oúª,ùAÛþ©OdVÛ­È6/©þ6/þAþL«. ·E Finsler ÝþVÛ­È Ka¨hler Finsler Ýþ(½f Ka¨hler FinslerÝþ!E BerwaldÝþ!Ka¨hler-BerwaldÝþ!fE BerwaldÝþ!E LandsbergÝþ!EÛÜMinkowskiÝþ)¿^.A^,·ÑEE BerwaldÝþ!fE BerwaldÝþ!EÛÜ MinkowskiÝþk{.  ,·ïÄE FinslerÝþVÛ­ÈÛÜK²"5!ÛÜéó²"5±9ÛÜ/²"5.31ÊÙ, ·Ìy²µjØCr[àE Finsler Ýþ´ELandsbergÝþ=§´jØC HermiteÝþ,ùL²,3jØCr[àE FinslerÝþ¥,Ø3E FinslerAÛ¥/ÕË0Ýþ.'cµE LandsbergÝþ;VÛ­È;ràE FinslerÝþ;f Ka¨hler FinslerÝþ;E BerwaldÝþ;fE BerwaldÝþ;¢ BerwaldÝþ;¢ LandsbergÝþ.– I –厦门大学博硕士论文摘要库厦门大学博硕士论文摘要库AbstractIn this thesis, we mainly study complex Landsberg metric and doubly warped product(DWP) of complex Finsler metrics. We study the relationships among complex Landsbergmetric, real Landsberg metric, real Berwald metric, complex Berwald metric and weaklycomplex Berwald metric, and consider the construction of some special complex Finslermetrics. We also try to find the “unicorn” metric in complex Finsler geometry, i.e., findingthe complex Landsberg metric which does not come from a Ka¨hler-Berwald metric. Warpedproduct is an important method used to construct new and special metrics both in Rieman-nian and real Finsler geometry. In this thesis, we generalize the warped product method tocomplex Finsler geometry, and study some properties of the DWP-complex Finsler metrics.In the third chapter, we study the relationships among some special real and complexFinsler metrics. We proved that if F is a strongly convex weakly Ka¨hler Finsler metric on acomplex manifold M , then the following assertions are equivalent:(i) F is a real Berwald metric;(ii) F is a complex Berwald metric;(iii) F is a weakly complex Berwald metric;(iv) F is a real Landsberg metric.We prove that if F is both a strongly convex weakly Ka¨hler Finsler metric and a realLandsberg metric on a complex manifoldM , then F is a complex Landsberg metric. We alsoconstruct some special complex Finsler metrics, such as strongly convex complex Berwaldmetric, strongly convex complex Landsberg metric, etc.In the fourth chapter, we study the DWP-complex Finsler metrics. We firstly derive themost often used complex Finsler connections (the Chern-Finsler connection, the complexRund connection, the complex Berwald connection, and the complex Hashiguchi connec-tion, etc.) associated to the DWP-complex Finsler metrics, which are expressed in terms ofthe corresponding complex Finsler connections associated to the complex Finsler metrics ofits components, respectively. Secondly, we obtain the formulae of the holomorphic curva-ture, Ricci scalar curvature and real geodesic of the DWP-complex Finsler metrics in termsof the corresponding objects associated to its components. We obtain a necessary and suf-ficient condition for the DWP-complex Finsler metrics to be a Ka¨hler Finsler (resp. weaklyKa¨hler Finsler, complex Berwald, Ka¨hler-Berwald metric, weakly complex Berwald, com-plex Landsberg, complex locally Minkowski) metric. As an application, we give an effec-tive method of constructing complex Berwald metrics, weakly complex Berwald metricsand complex locally Minkowski metrics. Finally, we study the flatness of locally projective,locally dual, and the flatness of locally conformal of the DWP-complex Finsler metrics.– III –厦门大学博硕士论文摘要库=©ÁIn the fifth chapter, we prove that a unitary invariant strongly pseudoconvex complexFinsler metric is a complex Landsberg metric if and if only if it comes from a unitary invari-ant Hermitian metric. This implies that there is no “unicorn” complex Finsler metric amongunitary invariant strongly pseudoconvex complex Finsler metrics.Key Words: Complex Landsberg metric; Doubly warped product; Strongly convex com-plex Finsler metric; Weakly Ka¨hler Finsler metric; Complex Berwald metric; Weakly com-plex Berwald metric; Real Berwald metric; Real Landsberg metric.– IV –厦门大学博硕士论文摘要库8 ¹Á  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IAbstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . III1Ù Úó . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.1 ïÄµÚK¿Â . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 ©Ìó . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61Ù ý£ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.1 E Finsler6/ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.2 E Finsler6/þéänØ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.3 E Finsler6/þAa­éä . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4 AÏE FinslerÝþ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191nÙ ¢ LandsbergÝþÚE LandsbergÝþ . . . . . . . . . . . . . . . . . . . . . . . 213.1 ¢ FinslerÝþÚràE FinslerÝþ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213.2 E LandsbergÝþx . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233.3 ràf Ka¨hler FinslerÝþÚ¢ LandsbergÝþ . . . . . . . . . . . . . . . . . . . . . . . 253.4 ràf Ka¨hler FinslerÝþÚf¢ BerwaldÝþ. . . . . . . . . . . . . . . . . . . . . 313.5 ràE BerwaldÝþ~f . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333.6 ràE LandsbergÝþ~f . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38– V –厦门大学博硕士论文摘要库8 ¹1oÙ 'uE FinslerÝþVÛ­È . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414.1 E FinslerÝþVÛ­È . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414.2 E FinslerÝþVÛ­Èpéä . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 434.3 E FinslerÝþVÛ­ÈX­ÇÚ Ricciêþ­Ç . . . . . . . . . . . . . . . . . 464.4 E FinslerÝþVÛ­È¢ÿ/ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494.5 AÏE FinslerÝþVÛ­È . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 504.6 E FinslerÝþVÛ­ÈK²"5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554.7 E FinslerÝþVÛ­È/²"5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571ÊÙ jØCr[àE LandsbergÝþ . . . . . . . . . . . . . . . . . . . . . . . . . . 615.1 jØCr[àE FinslerÝþ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 615.2 jØCr[àE LandsbergÝþ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65ë©z . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71®uLÚ¤Ø© . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78– VI –厦门大学博硕士论文摘要库CONTENTSAbstract (in Chinese) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IAbstract (in English) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IIIChapter 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.1 Research background and significance of this subject . . . . . . . . . . . . . . . . . 11.2 Main works of this thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6Chapter 2 Preliminary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.1 Complex Finsler manifold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.2 The general theory of connection on complex Finsler manifold . . . . . . . 132.3 Several kinds of important connections on complex Finsler manifold . .162.4 Special complex Finsler metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19Chapter 3 Real Landsberg metric and complex Landsberg metric 213.1 Real Finsler metric and strongly convex complex Finsler metric . . . . . . 213.2 Characterization of complex Landsberg metric . . . . . . . . . . . . . . . . . . . . . . 233.3 Strongly convex weakly Ka¨hler Finsler metric and real Landsberg metric. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .253.4 Strongly convex weakly Ka¨hler Finsler metric and weakly real Berwaldmetric . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313.5 Example of strongly convex complex Berwald metric . . . . . . . . . . . . . . . . . 333.6 Example of strongly convex complex Landsberg metric . . . . . . . . . . . . . . 38– VII –厦门大学博硕士论文摘要库CONTENTSChapter 4 On doubly warped product of complex Finsler metrics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414.1 Doubly warped product of complex Finsler metrics . . . . . . . . . . . . . . . . . . 414.2 Connections associated to doubly warped product of complex Finsler met-rics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 434.3 Holomorphic curvature and Ricci scalar curvature of doubly warpedproduct of complex Finsler metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 464.4 Real geodesics of doubly warped product of complex Finsler metrics . . 494.5 Doubly warped product of special complex Finsler metrics . . . . . . . . . . . . 504.6 Projective flatness of doubly warped product of complex Finsler metrics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554.7 Conformal flatness of doubly warped product of complex Finsler metrics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57Chapter 5 On unitary invariant strongly pseudoconvex complexLandsberg metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 615.1 Unitary invariant strongly pseudoconvex complex Finsler metrics . . . . 615.2 Unitary invariant strongly pseudoconvex complex Landsberg metrics . 65References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71Major Academic Achievements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77Acknowledgement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78– VIII –厦门大学博硕士论文摘要库1Ù Úó∗1.1 ïÄµÚK¿ÂÍ¶êÆ[Ñ:/¢ FinslerAÛ´vkg. RiemannAÛ0[1]. FinslerAÛ3g,Æ+A^4Ù2,cÙ3ÔnÆ!)ÔÆ!ó§Eâ!&EAÛ!ØÚ2ÂéØ¡ [2], [3], [4], [5].E FinslerAÛ´vk Hermiteg. HermiteAÛ.E FinslerÝþ®¤ïÄXNAÛ¼ênØ­óä [6]. Ù¥­üXØCÝþ´Kobayashi ÝþÚ Carathe´odory Ýþ. zk>½Ã>E6/Ñ3 KobayashiÝþÚ Carathe´odoryÝþ,3·^e,§´ C2E FinslerÝþ [1]. ¤±,ïÄE Finsler6/þÝþ(¤AÛÆ[Ú©ÛÆ[Ó'%K.e¡kéE FinslerÝþnØ/¤ÚuÐ{á0.1962 c, Prakashi N [7] Äg3E6/þïÄ Finsler AÛ. ´, 1965 c, Heil E[8]y²E6/þ÷v Prakashi N¤½^ FinslerÝþ¢Sþ´ RiemannÝþ. 1964c, Rizza G B [9]JÑE FinslerÝþ(PÒ.1967c, Rund H [10]3ïÄE FinslerÝþ¤÷vràg^ (¡ýéàg^),¿3ÛÜIXe|^Üþ©Û{ÑE FinslerÝþéäXêÚ¢ÿ/§. 1967c, Kobayashi S [11]JÑ KobayashiÝþ.1972c, Rund H [12]ïÄE6/þ6Eéä±96HermiteÜþ'uTEéäC©¯K. 5ïÄö¡TéäE Rundéä[13], [14], [15], [16].1975c, Kobayashi S [17]ïÄEþmÚE6/þål,JE FinslerÝþýéà5^,¦y²Xþm´ Negative¿©7^´Tþmþ3­ÇKr[àE FinslerÝþ.1981c, Lempert L [18]y²3 Cn ¥1wk.ràþ, KobayashiÝþÚCarathe´odoryÝþ,§3Xm"¡	1w,¿Ñ´f Ka¨hler-FinslerÝþ,$3z:ÑkràI/.1990c, Faran J [19]|^ Cartan¹ÄIe{ïÄE FinslerÝþÛÜd5¯K,¿3 KobayashiÝþ1w/eÑ§x.Pang M Y [20], Abate MÚ Patrizio G [21], [22]l©AÛÝé Cn ¥k∗©I[g,ÆÄ7 (8]ÏÒµ11271304, 11171277, 11571288, 11461064)!4ïg,ÆÄ7 -#ÑcÆÄ7 (8]ÏÒµ2013J06001)]Ï.– 1 –厦门大学博硕士论文摘要库1.1ïÄµÚK¿Â.!rà«þ Kobayashi ÝþAÛ5?1XïÄ, Ñ~­ÇRiemann­¡ÿ/Xi\E Finsler6/¿^,¿g,éäk~X­Ç Ka¨hler Finsler6/©a¯KïÄ.Royden H L [23], Fukui M [24], Aikou T [25], Abate MÚ Patrizio G [26]c ±AÓK8>©: /E FinslerÝþ (½6/)0,lØÓÝXÚïÄE FinslerÝþ (6/),X¤J.©ÌïÄE LandsbergÝþ±9E FinslerÝþVÛ­È.e¡Òù¡ïÄµ{ü0.1.1.1 AÏ FinslerÝþ3¢ FinslerAÛ¥, BerwaldÝþÚ LandsbergÝþ´üa­AÏ FinslerÝþ [27]. 1926cå, Berwald L [28], [29]XÚïÄaAÏ¢ FinslerÝþ,ùaÝþ CartanÜþ Aijk 'u BerwaldéäY²C© Aijk|l ð". ùaÝþ¡¢ Berwald Ýþ, äk¢ Berwald Ýþ¢6/¡¢ Berwald 6/. 1976 c,Ichijyo¯ Y [30] éëÏ¢ Berwald 6/ M ÑAÛx: M þz:?Dk Minkowski êm (TxM,Fx) ÏL²1£Äp5å, =: ëÏ¢ Berwald6/u¢ Minkowskim. 3ÛÜIXe, BerwaldÝþpBerwaldéä½ Chern-Rundéä½ CartanéäéäXê=.6/Ik' [27],[31], [32]. é²w, Riemann6/ÚÛÜ Minkowski6/Ñ´AÏ¢ Berwald6/.1981c, Szabo´ Z IÑ Riemann6/¢ Berwald6/~f [33].1928c, Berwald L [34]|^ Berwaldéäy Landsberg­Ç,T­Ç"Ýþ¡¢ LandsbergÝþ,äk¢ LandsbergÝþ¢6/¡¢ Landsberg6/. Landsberg Ýþ÷v: A˙ijk := Aijk|lul = 0. 1978 c, Ichijyo¯ Y [35] éëÏ¢Landsberg6/M ÑAÛx: M þz:?Dk Minkowskiêm (TxM,Fx)ÏL²1£Äpå,ùg,åØ2¢ Berwald6/@¦´5. é²w,¢ Landsberg6/) Riemann6/!¢ÛÜ Minkowski6/Ú¢ Berwald6/.3¢ FinslerAÛ¥,?Û¢ BerwaldÝþ½´¢ LandsbergÝþ,,,´Ä3¢ Berwald¢ LandsbergÝþ,´úm¯K [31]. ù¯K BaoD [36]¡/ÕË0¯K.éãm,ïÄöÑvké¢ Berwald¢ LandsbergÝþ. MatsumotoM [37]QßÿØ3¢ Berwald¢ LandsbergÝþ. 2008c, Szabo´ Z I\¡¤kK¢ LandsbergÝþþ¢ BerwaldÝþ [38],,;X,¦gCuyy²¥3×\ [39],ù¦/ÕË0¯K,´úm¯K.,¡, Asnov G S3 (α, β)-Ýþ¥EaAK/ÕË0Ýþ– 2 –厦门大学博硕士论文摘要库   Degree papers are in the “Xiamen University Electronic Theses and Dissertations Database”.  Fulltexts are available in the following ways: 1. If your library is a CALIS member libraries, please log on http://etd.calis.edu.cn/ and submit requests online, or consult the interlibrary loan department in your library. 2. For users of non-CALIS member libraries, please mail to etd@xmu.edu.cn for delivery details. 厦门大学博硕士论文摘要库

Complex Landsberg metric and doubly warped product of complex Finsler metrics

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Complex Landsberg metric and doubly warped product of complex Finsler metrics

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