Uniform Sobolev inequality along the Sasaki-Ricci flow

Tristan C. Collins

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arXiv · 1104.1151

Uniform Sobolev inequality along the Sasaki-Ricci flow

Tristan C. Collins

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Abstract

We prove a uniform Sobolev inequality along the Sasaki-Ricci flow. In the process, we develop the theory of basic Lebesgue and Sobolev function spaces, and prove some general results about the decomposition of the heat kernel for a class of elliptic operators on a Sasaki manifold.

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Tristan C. Collins. 2011-04-06. Uniform Sobolev inequality along the Sasaki-Ricci flow. https://arxiv.org/abs/1104.1151

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