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arXiv · 1203.1400

Isoperimetric inequality under K\"ahler Ricci flow

Gang Tian·Qi S. Zhang
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Abstract

Let $({\M}, g(t))$ be a K\"ahler Ricci flow with positive first Chern class. We prove a uniform isoperimetric inequality for all time. In the process we also prove a Cheng-Yau type log gradient bound for positive harmonic functions on $({\M}, g(t))$, and a Poincar\'e inequality without assuming the Ricci curvature is bounded from below.

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Gang Tian, Qi S. Zhang. 2012-03-07. Isoperimetric inequality under K\"ahler Ricci flow. https://arxiv.org/abs/1203.1400

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