C-Totally real pseudo-parallel submanifolds of Sasakian space forms
Date
2007-01-23
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
Let (M) over tilde (2n+1) (c) be (2n + 1)-dimensional Sasakian space form of constant phi-sectional curvature (c) and M-n be an n-dimensional C-totally real, minimal submanifold of (M) over tilde (2n+1) (c). We prove that if W is pseudo-parallel and Ln - 1/4 (n(c + 3) + c - 1) >= 0, then M-n is totally geodesic.
Description
Keywords
Contact manifolds, Hypersurfaces, Pseudosymmetry type manifolds, Semisymmetric manifolds, Sasakian manifolds, Anti-invariant submanifolds, Integral submanifolds, Contact distribution, Mathematics
Citation
Yıldız, A. vd. (2007). "C-Totally real pseudo-parallel submanifolds of Sasakian space forms". Monatshefte fur Mathematik, 151(3), 247-256.