Uniform Sobolev inequality along the Sasaki-Ricci flow

Details Uniform Sobolev inequality along the Sasaki-Ricci flow Uniform Sobolev inequality along the Sasaki-Ricci flow

2011-04-06

arxiv.org/abs/1104.1151v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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