Lovas Rezső L.

Rezső L. Lovas

Lovas, Rezső L.

Tokyo University of Science Repository for Academic Resources / 東京理科大学学術リポジトリ

SUT Journal of MathematicsVol. 41, No. 1 (2005), 95Corrigendum to`On the Killing vector ¯elds of generalized metrics'(in SUT Journal of Mathematics,Vol. 40, No. 2 (2004), 133 { 156)Rezs}o L. Lovas(Received April 22, 2005)In x9, the Killing vector ¯elds of Poincar¶e's hyperbolic upper half-planemodel should have the formX =£®¡(u1)2 ¡ (u2)2¢+ ¯u1 + °¤ @@u1+¡2®u1 + ¯¢u2@@u2with some ®; ¯; ° 2 R. The upper half-plane may be identi¯ed with the setof complex numbers with positive imaginary part. Suppose that ® 6= 0, andintroduce the notation k :=pj¯2=4¡ ®°j. Then the integral curves of X aregiven byz(t) = ¡k®c cosh kt¡ sinh ktc sinh kt¡ cosh kt ¡¯2®if¯24¡ ®° > 0;z(t) = ¡k®c cos kt+ sin ktc sin kt¡ cos kt ¡¯2®if¯24¡ ®° < 0;z(t) = ¡ 1®t+ c¡ ¯2®if¯24¡ ®° = 0with c 2 C such that Im c > 0.Rezs}o L. LovasInstitute of Mathematics, University of DebrecenH{ 4010 Debrecen, P. O. Box 12, Hungary95

Corrigendum to‘On the Killing vector fields of generalized metrics’(in SUT Journal of Mathematics, Vol. 40, No. 2 (2004), 133 – 156)

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Corrigendum to‘On the Killing vector fields of generalized metrics’(in SUT Journal of Mathematics, Vol. 40, No. 2 (2004), 133 – 156)

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