Heat equation in vector bundles with time-dependent metric

DOI10.2969/jmsj/06741759zbMath1429.58042OpenAlexW2174612639MaRDI QIDQ904207

Robert Philipowski, Anton Thalmaier

Publication date: 12 January 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1445951165

zbMATH Keywords

heat equationRicci flowvector bundlemartingaleBochner Laplaciangeometric evolution

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)

Related Items (1)

An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group

Cites Work

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• A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric
• Coupling of Brownian motions and Perelman's \(\mathcal L\)-functional
• Brownian motion with respect to time-changing Riemannian metrics, applications to Ricci flow
• Brownian motion on manifolds with time-dependent metrics and stochastic completeness
• Non-explosion of diffusion processes on manifolds with time-dependent metric
• Martingales on manifolds with time-dependent connection
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow
• Generalized Bochner theorems and the spectrum of complete manifolds
• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Bounded and \(L^2\) harmonic forms on universal covers
• A probabilistic method for gradient estimates of some geometric flows

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