Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz--Szabo theorem

DOI10.1016/S0007-4497(02)01123-5zbMath1018.58027MaRDI QIDQ1865005

Fabrice Baudoin

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Brownian motionLichnerowicz conjectureBrownian motion on a manifoldharmonic manifoldscompact rank one symmetric spaceskew-product decompositionJacobi diffusions

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (2)

Conditioning and initial enlargement of filtration on a Riemannian manifold. ⋮ Octonionic Brownian windings

Cites Work

• Eigenvalue inequalities for minimal submanifols and P-manifolds
• The radial part of Brownian motion on a manifold: A semimartingale property
• Stochastic calculus in manifolds. With an appendix by P.A. Meyer
• The Lichnerowicz conjecture on harmonic manifolds
• Diffusion processes and their sample paths.
• An intrinsic approach to Lichnerowicz conjecture
• Propriétés globales des espaces de Riemann harmoniques
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Representation of an isotropic diffusion as a skew product
• A class of nonsymmetric harmonic Riemannian spaces
• DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
• Sur les espaces riemanniens complètement harmoniques
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