A Weitzenböck formula for the damped Ornstein–Uhlenbeck operator in adapted differential geometry

DOI10.1016/S0764-4442(01)01861-4zbMath1020.58023OpenAlexW1999633448WikidataQ115338658 ScholiaQ115338658MaRDI QIDQ2721648

Shizan Fang, Ana Bela Cruzeiro

Publication date: 4 March 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)01861-4

zbMATH Keywords

Weitzenböck formulaOrnstein-Uhlenbeck operatorRiemannian path spaceRicci-tensor

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (3)

The vanishing of \(L^2\) harmonic one-forms on based path spaces ⋮ Weak Levi-Civita connection for the damped metric on the Riemannian path space and vanishing of Ricci tensor in adapted differential geometry ⋮ Stochastic calculus of variations and Harnack inequality on Riemannian path spaces

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