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Ricci Solitons Days in Pisa 2011

Rigidity Results, Gap Theorems and Maximum Principles for Ricci Solitons

speaker: Manuel Fernández-López (University of Santiago de Compostela)

abstract: We show that a gradient shrinking Ricci solitons with harmonic Weyl tensor must be a quotient of a product of the Euclidean space and a sphere. Next, we prove that if a Ricci soliton does not differ much from being Einstein in terms of certain geometric quantities then it is Einstein. Finally we show that gradient shrinking Ricci solitons satisfy the Omori-Yau maximum principle.

timetable:
Tue 5 Apr, 9:00 - 10:00, Aula Dini
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