Some properties of pseudo-slant submanifolds of a Sasakian manifold

Authors

  • S. Kumar University of Lucknow, India
  • S. Pandey University of Lucknow, India
  • R. Prasad University of Lucknow, India

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.2.14

Keywords:

Slant submanifold, Pseudo-slant submanifold, Sasakian manifold, Totally geodesic

Abstract

In this paper, we study pseudo-slant submanifolds of a Sasakian manifold. We find some results and investigate the integrability conditions of distributions which are involved in the definition of pseudo-slant submanifolds. Finally, we obtain the necessary and sucifient condition for a pseudo-slant submanifold to be pseudo-slant product.

Author Biographies

S. Kumar, University of Lucknow, India

Department of Mathematics and Astronomy, Uttar Pradesh Pin-Code 226007

S. Pandey, University of Lucknow, India

Department of Mathematics and Astronomy, Uttar Pradesh Pin-Code 226007

R. Prasad, University of Lucknow, India

Department of Mathematics and Astronomy, Uttar Pradesh Pin-Code 226007

Downloads

Published

2020-01-20

Issue

Vol. 12(61) No. 2 (2019)

Section

MATHEMATICS