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arXiv:1507.03038 [math.DG]AbstractReferencesReviewsResources

On the construction of gradient almost Ricci soliton warped product

F. E. S. Feitosa, A. A. Freitas, J. N. V. Gomes, R. S. Pina

Published 2015-07-10Version 1

In this paper we present a necessary and sufficient condition for constructing gradient almost Ricci solitons that are realized as warped products. This will be done through the O'Neill's formulas and a particular study of Riemannian manifolds satisfying a Ricci-Hessian type equation. Furthermore, we provide existence and rigidity results.

Comments: 13 pages
Categories: math.DG
Subjects: 53C15, 53C25, 53C21, 34A05
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