Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.
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Sharp Gaussian Isoperimetry along a Ricci Flow
Proves sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along Ricci flow via monotonicity formula, with consequences for concentration estimates, log-Sobolev inequalities, and related results.