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387216

On invariant submanifolds of ( LCS ) n -manifolds

Article

Last updated: 31 Dec 2024

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Abstract

The object of the present paper is to study the invariant submanifolds of ( LCS ) n -
manifolds. We study semiparallel and 2-semiparallel invariant submanifolds of ( LCS ) n -manifolds.
Among others we study 3-dimensional invariant submanifolds of ( LCS ) n -manifolds. It is shown that
every 3-dimensional invariant submanifold of a ( LCS ) n -manifold is totally geodesic

DOI

10.1016/j.joems.2015.05.008

Keywords

( LCS ) n -manifold, Invariant submanifold, Semiparallel submanifold, 2-semiparallel submanifold, Totally geodesic

Authors

First Name

Shyamal

Last Name

Hui

MiddleName

Kumar

Affiliation

Department of Mathematics, Sidho Kanho Birsha University, Purulia 723 104, West Bengal, India

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Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

263

Page End

269

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387216.html

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https://joems.journals.ekb.eg/service?article_code=387216

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387,216

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On invariant submanifolds of ( LCS ) n -manifolds

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Article

Created At

21 Dec 2024