Some remarks on the heat flow for functions and forms

DOI10.1214/ECP.v3-992zbMath0921.58071MaRDI QIDQ1269721

Anton Thalmaier

Publication date: 29 October 1998

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119935

zbMATH Keywords

heat equationBrownian motionRicci curvatureheat semigroupBM-complete Riemannian manifolddamped parallel translation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (4)

The differentiation of hypoelliptic diffusion semigroups ⋮ Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations. II ⋮ Heat equation derivative formulas for vector bundles ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature

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