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381167

On extended generalized /-recurrent Sasakian manifolds

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Last updated: 31 Dec 2024

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Abstract

The object of this paper is to introduce the notion of extended generalized /-recurrency
to Sasakian manifolds and study its various geometric properties with the existence by an
interesting example. Among the results established here it is shown that an extended generalized
/-recurrent Sasakian manifold is an Einstein manifold. Further, we study extended generalized
T–/-recurrent Sasakian manifold and obtain the results which reveal the nature of its associated
1-forms. Finally, an example of a 3-dimensional extended generalized /-recurrent Sasakian manifold
which is neither /-recurrent nor generalized /-recurrent is constructed for illustration.

DOI

10.1016/j.joems.2012.11.002

Keywords

Generalized recurrent Sasakian manifold, Generalized /-recurrent Sasakian manifold, Extended generalized /- recurrent Sasakian manifold, Extended generalized T–/- recurrent Sasakian manifold, T-curvature tensor, Einstein manifold

Authors

First Name

D.G.

Last Name

Prakasha

MiddleName

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Affiliation

Department of Mathematics, Karnatak University, Dharwad 580 003, India

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Volume

21

Article Issue

1

Related Issue

50461

Issue Date

2013-04-01

Receive Date

2024-09-23

Publish Date

2013-04-01

Page Start

25

Page End

31

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 1_Pages 25-31.pdf

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https://joems.journals.ekb.eg/article_381167.html

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https://joems.journals.ekb.eg/service?article_code=381167

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381,167

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On extended generalized /-recurrent Sasakian manifolds

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Article

Created At

21 Dec 2024