15 citations · 43 across the 24 of their papers we have counts for
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math.DG2011★ 2 cited
Uniform Sobolev inequality along the Sasaki-Ricci flow
Tristan C. Collins
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 resul…
math.DG2011★ 5 cited
The Transverse Entropy Functional and the Sasaki-Ricci Flow
Tristan C. Collins
We introduce two new functionals on Sasaki manifolds, inspired by the work of Perelman, which are monotonic along the Sasaki-Ricci flow. We relate their gradient flow, via diffeomo…