Generalized (k,µ)-Space forms and Ricci solitons

Year 2019, Volume: 1 Issue: 1, 9 - 16, 05.02.2019

D. L. Kiran Kumar H. G. Nagaraja Uppara Manjulamma

Abstract

In this paper, we study Ricci-semisymmetric and Ricci pseudo-symmetric generalized (k,µ)-space forms along with characterization of generalized (k,µ)-space forms satisfying the curvature conditions Q(g,S) = 0 and Q(S,R) = 0. Further, we study Ricci solitons in generalized (k,µ)-space forms and obtained some interesting results.

Keywords

Ricci-semisymmetric, Ricci pseudosymmetric, Ricci solitons, shrinking, expanding, steady, generalized (kμ)-space forms

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