Uniform Sobolev inequality along the Sasaki-Ricci flow
Differential Geometry
2011-04-07 v1
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.
Keywords
Cite
@article{arxiv.1104.1151,
title = {Uniform Sobolev inequality along the Sasaki-Ricci flow},
author = {Tristan C. Collins},
journal= {arXiv preprint arXiv:1104.1151},
year = {2011}
}
Comments
13 pages