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Gradient Ricci solitons on generalized Sasakian-space-forms. (English) Zbl 1398.53055

Summary: The present paper deals with the study of gradient Ricci solitons on generalized Sasakian-space-forms. It is shown that if a generalized Sasakian-space-form admits a gradient Ricci soliton then it turns into Einstein manifold.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
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