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Bounds on the Heat Kernel under the Ricci Flow by Bailesteanu, Mihai is a scholarly article available to read on EtoBox.

What is Bounds on the Heat Kernel under the Ricci Flow about?

We establish an estimate for the fundamental solution of the heat equation on a closed Riemannian manifold $M$ of dimension at least 3, evolving under the Ricci flow. The estimate depends on some constants arising from a Sobolev imbedding theorem. Considering the case when the scalar curvature is positive throughout the manifold, at any time, we will obtain, as a corollary, a bound similar to the one known for the fixed metric case.

Author

Bailesteanu, Mihai

Published

2010

Language

EN