On Generalized Ricci- Recurrent Indefinite Trans-Sasakian Manifolds
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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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How to Cite
1.
Rajendra Prasad, Jai Prakash. On Generalized Ricci- Recurrent Indefinite Trans-Sasakian Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2014 Dec. 15 [cited 2024 Apr. 28];18(4):347-58. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/333
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