Invariant Submanifolds of Generalized Sasakian-Space-Forms

The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.Comment: 11 page

On weak symmetries of Kenmotsu Manifolds with respect to quarter-symmetric metric connection

The aim of this paper is to study weakly symmetries of Kenmotsu man- ifolds with respect to quarter-symmetric metric connection. We investigate the properties of weakly symmetric, weakly Ricci-symmetric and weakly concircular Ricci-symmetric Kenmotsu manifolds with respect to quarter symmetric metric connection and obtain interesting results

Synthesis and Antimicrobial Activity of Quinazolinone Conjugated Peptides

Antimicrobial compounds were synthesized by coupling 4-(4-oxo-3,4-dihydroquinazolin-2-yl) butanoic acid with VP, GVP, VGVP and GVGVP peptides. Antimicrobial activities of the synthesized compounds were performed against various bacterial strains by disc diffusion method. The structure activity relationship was evaluated with respect to hydrophobicity, polarity, chain length of peptides and alkyl chain length of quinazolinone. Correlations of analogs with respect to their antimicrobial activity in comparison with conventional drugs and probable mechanism for the activity were discussed

Generalized Lorentzian Sasakian-Space-Forms with M-Projective Curvature Tensor

In this note, the generalized Lorentzian Sasakian-space-form M12n+1(f1,f2,f3) satisfying certain constraints on the M-projective curvature tensor W* is considered. Here, we characterize the structure M12n+1(f1,f2,f3) when it is, respectively, M-projectively flat, M-projectively semisymmetric, M-projectively pseudosymmetric, and φ−M-projectively semisymmetric. Moreover, M12n+1(f1,f2,f3) satisfies the conditions W*(ζ,V1)·S=0, W*(ζ,V1)·R=0 and W*(ζ,V1)·W*=0 are also examined. Finally, illustrative examples are given for obtained results