Abstract
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere. Finally, we characterize trivial generalized gradient Ricci solitons.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Cited by
5 articles.
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