Data di Pubblicazione:
2011
Citazione:
Ricci almost solitons / S. Pigola, M. Rigoli, M. Rimoldi, A.G. Setti. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 10:4(2011), pp. 757-799.
Abstract:
We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties. A number of differential identities involving the relevant geometric quantities are derived. Some basic tools from the weighted
manifold theory such as general weighted volume comparisons and maximum principles at infinity for diffusion operators are discussed.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
tensor; completeness; curvature
Elenco autori:
S. Pigola, M. Rigoli, M. Rimoldi, A.G. Setti
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