## Some characterizations on totally geodesic transversal hypersurfaces of a nearly B-Kenmotsu manifold

#### AUTHOR AND AFFILIATION

JANARDAN SINGH
State Institute of Education U.P., Prayagraj (India)

#### KEYWORDS:

Totally geodesic, Kenmotsu manifold, Mathematics Subject Classification 2020. 37D40, 14J70, 53C25

August 2020

93-99

#### ISSN:

2319-8044 (Online) – 2231-346X (Print)

Vol.32 – No.8

#### DOI:

http://dx.doi.org/10.22147/jusps-A/320801

#### ABSTRACT:

In this paper, we study some results of transversal hypersurfaces with (f, g˜, u, v, $\lambda$)-the structure of a nearly $\beta$-Kenmotsu manifold. Some more results on totally geodesic or totally umbilical transversal hypersurface with (f, g˜, u, v, $\lambda$)-structure of a nearly $\beta$-Kenmotsu manifold have also been studied.