On generalized complex space forms satisfying certain curvature conditions

Abstract

We study Ricci soliton $(g,V,\lambda)$ of generalized complex space forms when the Riemannian, Bochner and $W_2$ curvature tensors satisfy certain curvature conditions like semi-symmetric, Einstein semi-symmetric, Ricci pseudo symmetric and Ricci generalized pseudo symmetric. In this study it is shown that shrinking, steady and expansion of the generalized complex space forms depend on the solenoidal property of vector V. Also we prove that generalized complex space form with conservative Bochner curvature tensor is constant scalar curvature.

Authors and Affiliations

M. M. Praveena, C. S. Bagewadi

Keywords

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  • EP ID EP327123
  • DOI 10.15330/cmp.8.2.284-294
  • Views 60
  • Downloads 0

How To Cite

M. M. Praveena, C. S. Bagewadi (2016). On generalized complex space forms satisfying certain curvature conditions. Карпатські математичні публікації, 8(2), 284-294. https://europub.co.uk./articles/-A-327123