Brownian motion on manifolds with time-dependent metrics and stochastic completeness

DOI10.1016/J.GEOMPHYS.2011.01.005zbMath1219.58018OpenAlexW2002409260MaRDI QIDQ632941

Seong-Hun Paeng

Publication date: 28 March 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.01.005

zbMATH Keywords

manifoldheat equationBrownian motionstochastic completenesstime-dependent metrics

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (5)

Anomalous recurrence of Markov chains on negatively curved manifolds ⋮ A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric ⋮ Martingales on manifolds with time-dependent connection ⋮ Heat equation in vector bundles with time-dependent metric ⋮ Erratum to ``Brownian motion on manifolds with time-dependent metrics and stochastic completeness [J. Geom. Phys. 61 (2011) 940-946]

Cites Work

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• The fundamental solution on manifolds with time-dependent metrics
• Pseudolocality for the Ricci Flow and Applications
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

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