Stability of Ricci de Turck flow on Singular Spaces
Differential Geometry
2020-05-19 v3 Analysis of PDEs
Spectral Theory
Abstract
In this paper we establish stability of the Ricci de Turck flow near Ricci-flat metrics with isolated conical singularities. More precisely, we construct a Ricci de Turck flow which starts sufficiently close to a Ricci-flat metric with isolated conical singularities and converges to a singular Ricci-flat metric under an assumption of integrability, linear and tangential stability. We provide a characterization of conical singularities satisfying tangential stability and discuss examples where the integrability condition is satisfied.
Keywords
Cite
@article{arxiv.1802.02908,
title = {Stability of Ricci de Turck flow on Singular Spaces},
author = {Klaus Kroencke and Boris Vertman},
journal= {arXiv preprint arXiv:1802.02908},
year = {2020}
}
Comments
48 pages, published version