Displaying similar documents to “Some remarks on the heat flow for functions and forms.”

Brownian motion with respect to time-changing riemannian metrics, applications to Ricci flow

Koléhè A. Coulibaly-Pasquier (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We generalize brownian motion on a riemannian manifold to the case of a family of metrics which depends on time. Such questions are natural for equations like the heat equation with respect to time dependent laplacians (inhomogeneous diffusions). In this paper we are in particular interested in the Ricci flow which provides an intrinsic family of time dependent metrics. We give a notion of parallel transport along this brownian motion, and establish a generalization of the Dohrn–Guerra...