The local entropy along Ricci flow---Part A: the no-local-collapsing theorems

By Bing Wang. 2017

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We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing theorem and pseudo-locality theorem. Our generalization is technically inspired by further development of Li-Yau estimate along the Ricci flow. It can be used to show the Gromov-Hausdorff convergence of the Kahler Ricci flow on each minimal projective manifold of general type.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e5e0360f181a7fe2a391aa13e03a1f0b1fcebd07