Weak Levi-Civita Connection for the Damped Metric on the Riemannian Path Space and Vanishing of Ricci Tensor in Adapted Differential Geometry-Reference-Cited by-同舟云学术

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Weak Levi-Civita Connection for the Damped Metric on the Riemannian Path Space and Vanishing of Ricci Tensor in Adapted Differential Geometry

Published:2001-10 Issue:2 Volume:185 Page:681-698
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Cruzeiro Ana Bela,Fang Shizan

Publisher

Elsevier BV

Subject

Analysis

Reference14 articles.

1. An L2 estimate for Riemannian anticipative stochastic integrals;Cruzeiro;J. Funct. Anal.,1997

2. A Weitzenböck formula for the damped Ornstein Uhlenbeck operator in adapted differential geometry;Cruzeiro;C.R. Acad. Sci. Paris,2001

3. Stochastic Weitzenböck formula on Riemannian path spaces;Cruzeiro;J. Anal. Math.,2000

4. Renormalized differential geometry on path space: Structural equation, curvature;Cruzeiro;J. Funct. Anal.,1996

5. Frame bundle of Riemannian path space and Ricci tensor in adapted differential geometry;Cruzeiro;J. Funct. Anal.,2000

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1. Integrability on Direct Limits of Banach Manifolds;Annales de la Faculté des sciences de Toulouse : Mathématiques;2020-04-23

2. Ricci Curvature and Bochner Formulas for Martingales;Communications on Pure and Applied Mathematics;2018-01-09

3. Remarks on spectral gaps on the Riemannian path space;Electronic Communications in Probability;2017-01-01

4. The vanishing of L2 harmonic one-forms on based path spaces;Journal of Functional Analysis;2013-03

5. An L2 theory for differential forms on path spaces I;Journal of Functional Analysis;2008-01

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