Lobachevskii Journal of Mathematics

, 32:88

On submanifolds of Sasakian manifolds


DOI: 10.1134/S1995080211010045

Cite this article as:
Sarkar, A. Lobachevskii J Math (2011) 32: 88. doi:10.1134/S1995080211010045


The object of the present paper is to introduce a new type of invariant submanifolds, namely, mixed-invariant submanifolds of Sasakian manifolds and to show that everymixed-invariant submanifold of a Sasakian manifold is totally geodesic. 2-quasi-umbilical hypersurface of a Sasakian space form is also studied.

Keywords and phrases

Key words and phrases: Mixed-invariantSasakian manifoldsubmanifold2-quasi-umbilicalgeneralized quasi-Einstein

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BurdwanBurdwanIndia