A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric

DOI10.1016/j.spa.2014.06.004zbMath1297.53044arXiv1310.1868OpenAlexW2122725697WikidataQ115341149 ScholiaQ115341149MaRDI QIDQ404581

Robert Philipowski, Anton Thalmaier, Hong Xin Guo

Publication date: 4 September 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1868

zbMATH Keywords

harmonic map heat flowstochastic analysis on manifoldstime-dependent geometry

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items

Local curvature estimates for the Ricci-harmonic flow ⋮ Long time existence of Ricci-harmonic flow ⋮ On gradient solitons of the Ricci-harmonic flow ⋮ Martingales on manifolds with time-dependent connection ⋮ Heat equation in vector bundles with time-dependent metric ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow ⋮ A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric ⋮ An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions ⋮ Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry

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