Curvature Conditions on Riemannian Manifolds with Brownian Harmonicity Properties

DOI10.2307/2154801zbMath0819.58040OpenAlexW4251643902MaRDI QIDQ4321235

Harry Randolph Hughes

Publication date: 2 March 1995

Full work available at URL: https://doi.org/10.2307/2154801

zbMATH Keywords

Riemannian manifoldcurvature conditionsBrownian harmonicitylocally harmonic manifolds

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Local Riemannian geometry (53B20)

Cites Work

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• On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds
• Hitting distributions of small geodesic spheres
• On the independence of exit time and exit position from small geodesic balls for Brownian motion on Riemannian manifolds
• Harmonic analysis on solvable extensions of H-type groups
• Brownian exit distributions from normal balls in \(S^ 3\times{}H^ 3\)
• On non-Euclidean harmonic measure

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