Title of article
Ricci Generalized Pseudo-Parallel Kaehlerian Submanifolds in Complex Space Forms
Author/Authors
Yildiz, Ahmet Dumlupınar University - Art and Science Faculty - Department of Mathematics, Turkey , Murathan, Cengizhan Uluda˜g University - Art and Science Faculty - Department of Mathematics, Turkey
From page
153
To page
163
Abstract
Let M^˜ m(c) be a complex m-dimensional space form of holomorphic sectional curvature c and Mn be a complex n-dimensional Kaehlerian submanifold of M^˜ m(c). We prove that if M^n is Ricci generalized pseudo-parallel, then either Mn is totally geodesic, or vert hvert ^2 = −2 /3 (Ltau − 1 /2 (n+2)c), or at some point x of Mn,vert h vert^2 (x) −2/ 3 (L(x) (tau) − 1/2 (n + 2)c).
Keywords
Pseudosymmetry type manifolds , semisymmetric manifolds , hypersurfaces , pseudo , parallel , Ricci generalized pseudo , parallel , Kaehlerian submanifolds.
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2549750
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