Uniform Sobolev inequality along the Sasaki-Ricci flow
  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. 
Tristan C. Collins
math.DG