On Generalized Ricci- Recurrent Indefinite Trans-Sasakian Manifolds

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Published: 2014-12-15
Keywords:
(e ) -Sasakian, (e )−a -Sasakian, (e ) -Kenmotsu, (e )−b -Kenmotsu, (e ) - cosympletic, (e ) -trans-Sasakian, Ricci-recurrent and Einstein manifolds .

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Rajendra Prasad
Department of Mathematics and Astronomy University of Lucknow, Lucknow-226007
Jai Prakash
Department of Mathematics and Astronomy University of Lucknow, Lucknow-226007

Abstract

In this paper generalized Ricci-recurrent (e ) -trans-Sasakian maniolds are studied. Among others, it is proved that a generalized
Ricci-recurrent Cosymplectic manifold is always recurrent. It is also proved that if M is one of the (e ) -Sasakian, (e )−a -Sasakian, (e ) -
Kenmotsu or (e )−b -Kenmotsu manifolds, which are generalized Ricci-recurrent with cyclic Ricci tensor and non- zero A(x ) every
where then they are Einstein and Ricci symmetric manifolds.

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Vol. 18 No. 4 (2014): Table of Content

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How to Cite

1.
On Generalized Ricci- Recurrent Indefinite Trans-Sasakian Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2014 Dec. 15 [cited 2026 Oct. 23];18(4):347-58. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/333

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