On the existence of some types of LP-Sasakian manifolds
Commun. Korean Math. Soc. 2008 Vol. 23, No. 1, 95-110
Published online March 1, 2008
Absos A. Shaikh, Kanak K. Baishya, and Sabina Eyasmin
University of Burdwan
Abstract : The object of the present paper is to provide the existence of LP-Sasakian manifolds with $\eta$-recurrent, $\eta$-parallel, $\phi$-recurrent, $\phi$-parallel Ricci tensor with several non-trivial examples. Also generalized Ricci recurrent LP-Sasakian manifolds are studied with the existence of various examples.
Keywords : LP-Sasakian manifolds, Ricci generalized LP-Sasakian manifolds, $\eta$-parallel Ricci tensor, $\phi$-parallel Ricci tensor, $\phi$-recurrent Ricci tensor, $\eta$-recurrent Ricci tensor
MSC numbers : 53C15, 53C25
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