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- Brookhaven National LaboratoryUS183 papers
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5 papers · 2 filters
On the gradient estimate of Cheng and Yau
Ovidiu Munteanu
We improve the well known local gradient estimate of Cheng and Yau in the case when Ricci curvature has a negative lower bound.
Some recent developments in Lagrangian mean curvature flows
Mu-Tao Wang
We review some recent results on the mean curvature flows of Lagrangian submanifolds from the perspective of geometric partial differential equations. These include global existenc…
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…
Smooth metric measure spaces with non-negative curvature
Ovidiu Munteanu, Jiaping Wang
We study both function theoretic and spectral properties on complete noncompact smooth metric measure space with nonnegative Bakry-Émery Ricci curvature. Among oth…
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…