On generalized complex space forms satisfying certain curvature conditions

Authors

  • M.M. Praveena Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India
  • C.S. Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India

DOI:

https://doi.org/10.15330/cmp.8.2.284-294

Keywords:

generalized complex space forms, Ricci soliton, Einstein manifold, Einstein semi-symmetric, pseudo symmetric

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 depends on the solenoidal property of vector $V$. Also we prove that generalized complex space form with conservative Bochner curvature tensor is constant scalar curvature.

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Published

2016-12-30

How to Cite

(1)
Praveena, M.; Bagewadi, C. On Generalized Complex Space Forms Satisfying Certain Curvature Conditions. Carpathian Math. Publ. 2016, 8, 284-294.

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Section

Scientific articles