Dynamical stability and instability of Ricci-flat metrics
Robert Haslhofer, Reto M\"uller
TL;DR
This paper enhances understanding of Ricci-flat metrics' stability under Ricci flow by removing the integrability assumption, thereby broadening the applicability of previous stability and instability results.
Contribution
It improves existing results on Ricci-flat metrics' stability by eliminating the integrability assumption, advancing the theoretical understanding of Ricci flow dynamics.
Findings
Removed the integrability assumption in stability results
Extended stability and instability criteria for Ricci-flat metrics
Refined the theoretical framework of Ricci flow analysis
Abstract
In this short article, we improve the dynamical stability and instability results for Ricci-flat metrics under Ricci flow proved by Sesum and Haslhofer, getting rid of the integrability assumption.
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