Communications of the
Korean Mathematical Society CKMS

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