Rigidity of gradient Einstein shrinkers
Giovanni Catino, Lorenzo Mazzieri, Samuele Mongodi
TL;DR
This paper investigates the rigidity of gradient Einstein shrinkers by analyzing perturbations of Ricci solitons and classifies certain noncompact shrinkers with specific curvature conditions.
Contribution
It introduces a new perturbation of the Ricci solitons equation and provides a classification of noncompact gradient shrinkers with bounded nonnegative sectional curvature.
Findings
Classification of noncompact gradient shrinkers with bounded nonnegative sectional curvature.
Identification of rigidity properties under perturbations of Ricci solitons.
Extension of previous results on Ricci solitons and Einstein shrinkers.
Abstract
In this paper we consider a perturbation of the Ricci solitons equation proposed in \cite{jpb1} and studied in \cite{CaMa} and we classify noncompact gradient shrinkers with bounded nonnegative sectional curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds