A Bochner formula on path space for the Ricci flow

DOI10.1007/s00526-022-02420-3OpenAlexW4316143142WikidataQ126111946 ScholiaQ126111946MaRDI QIDQ2111518

Christopher A. Kennedy

Publication date: 17 January 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04193

zbMATH Keywords

martingalesfinite-dimensional Bochner formulagradient and Hessian estimatesparabolic path space

Mathematics Subject Classification ID

Ricci flows (53E20)

Related Items

Compactness theory of the space of super Ricci flows ⋮ Bochner formulas, functional inequalities and generalized Ricci flow

Cites Work

• Unnamed Item
• Remarks on spectral gaps on the Riemannian path space
• The Harnack estimate for the Ricci flow
• Brownian motion on Perelman's almost Ricci-flat manifold
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow
• Spectral gap on Riemannian path space over static and evolving manifolds
• Characterization of pinched Ricci curvature by functional inequalities
• Characterizations of the Ricci flow
• Pointwise characterizations of curvature and second fundamental form on Riemannian manifolds
• Ricci Curvature and Bochner Formulas for Martingales