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Ricci Solitons Days in Pisa 2011

Some Characterizations for Compact almost Ricci Solitons

speaker: Ernani de Sousa Ribeiro Junior (Federal University of Ceará)

abstract: The aim of this paper is to find some equations of structure for almost Ricci solitons which generalize the equivalent for Ricci solitons. As a consequence of these equations we derive an integral formula for the compact case which enables to show that a compact nontrivial almost Ricci soliton is isometric to a sphere provided either it has constant scalar curvature or its associated vector field is conformal. Moreover, we also use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost Ricci soliton.

timetable:
Thu 7 Apr, 17:00 - 17:30, Aula Dini
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