Semimartingales and geometric inequalities on locally symmetric manifolds

DOI10.1007/s00440-007-0105-yzbMath1172.58012OpenAlexW2168463225MaRDI QIDQ948945

Huiling Le, Dennis Barden

Publication date: 16 October 2008

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-007-0105-y

zbMATH Keywords

Brownian motionparabolic equationJacobi fieldfirst eigenvalue of the Laplacianparallel translation

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Boundary value problems on manifolds (58J32)

Related Items

Killed Brownian motion and the Brunn–Minkowski inequalities, Killed Brownian motion and inequalities among solutions of the Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic differential geometry: An introduction
• Gradient estimates on manifolds using coupling
• Riemannian geometry and geometric analysis.
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Diffusion equations and geometric inequalities
• Stochastic Differential Geometry, a Coupling Property, and Harmonic Maps
• Semimartingales and geometric inequalities on manifolds
• Riemannian geometry