Abstract

On ε -Para-sasakian 3-Manifold with RICCI Soliton

N. V. C. Shukla1 and Anurag Dixit2

1,2Department of Mathematics And Astronomy, Lucknow University Lucknow (U.P.) INDIA.

ABSTRACT

In this paper we introduce the Ricci soliton on ε -para Sasakian 3-manifolds. We will also show that Ricci soliton on ε -para Sasakian 3-manifolds is expanding. We will also prove that if an Ricci soliton on ε -para Sasakian 3-manifolds is gradient Ricci soliton corresponding to the potential function f, the either Df = 0 or Df is collinear with the characteristic vector field . . Mathematics Subject Classification [2010]: 53C15, 53C20, 53C50.

Keywords :ε-para Sasakian manifolds, Ricci soliton, Einstein manifold.

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