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arXiv · 1802.02908

Stability of Ricci de Turck flow on Singular Spaces

Klaus Kroencke·Boris Vertman
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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.

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Klaus Kroencke, Boris Vertman. 2018-02-08. Stability of Ricci de Turck flow on Singular Spaces. https://doi.org/10.1007/s00526-019-1510-7

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