Optimal transport and Perelman's reduced volume

Details Optimal transport and Perelman's reduced volume Optimal transport and Perelman's reduced volume

2008-04-02

arxiv.org/abs/0804.0343v2

Mathematics

Differential Geometry

final version

Scientific paper

We show that a certain entropy-like function is convex, under an optimal
transport problem that is adapted to Ricci flow. We use this to reprove the
monotonicity of Perelman's reduced volume.

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