Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2019; 34(3): 935-949

Online first article July 8, 2019      Printed July 31, 2019

https://doi.org/10.4134/CKMS.c180337

Copyright © The Korean Mathematical Society.

On pseudo-slant submanifolds of a nearly $(\varepsilon,\delta)$-trans Sasakian manifold

Jae-Bok Jun, Shamsur Rahman

Kookmin University; Polytechnic, Darbhanga (Branch)

Abstract

The purpose of the paper is to study the notion of pseudo-slant submanifolds and the existence of some structures on a pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold. Totally umbilical proper-slant submanifolds are worked out. We discuss the integrability of distributions on pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold.

Keywords: nearly $(\varepsilon,\delta)$-trans-Sasakian manifold, slant submanifold, proper slant submanifold, pseudo-slant submanifold, totally umbilical proper-slant submanifold

MSC numbers: 53C15, 53C40, 53D15, 53D10

Supported by: Partially supported by Maulana Azad National Urdu University (No.MANUU/Acad/F.404/2016-17/217).

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