Ricci solitons on Sasakian manifolds

Abstract

We show that a Sasakian metric which also satisfies the gradient Ricci soliton equation is necessarily Einstein.

4 pages

References in corpus (1)

• Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds

Cited by in corpus (7)

• Sasakian metric as a Ricci soliton and related results
• Riemannian maps whose base manifolds admit a Ricci soliton
• Ricci solitons and certain related metrics on 3-dimensional trans-Sasakian manifold
• The Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure Spaces
• Ricci Solitons on submanifolds of $(LCS{)}_n$-Manifolds
• Some Results on $\ast -$Ricci Flow
• Characteristics of almost conformal Ricci solitons on Sasakian manifold