An integration by parts formula on path space over manifolds carrying geometric flow

DOI10.1007/s11425-014-4941-9zbMath1326.60077OpenAlexW2060182908MaRDI QIDQ887051

Li-Juan Cheng

Publication date: 27 October 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4941-9

zbMATH Keywords

path spacelog-Sobolev inequalityintegration by partsmanifolds with boundarygeometric flowreflecting diffusion processstochastic diffusion equation

Mathematics Subject Classification ID

Related Items (3)

Diffusion semigroup on manifolds with time-dependent metrics ⋮ Spectral gap on Riemannian path space over static and evolving manifolds ⋮ An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis on path spaces over Riemannian manifolds with boundary
• Large deviations and the Malliavin calculus
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Formulae for the derivatives of heat semigroups
• Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds
• Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces
• Integration by parts for heat kernel measures revisited
• Multiplicative functional for the heat equation on manifolds with boundary.
• Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold
• Analysis on free Riemannian path spaces
• Analysis for Diffusion Processes on Riemannian Manifolds

This page was built for publication: An integration by parts formula on path space over manifolds carrying geometric flow