Transportation-cost inequalities on path spaces over manifolds carrying geometric flows
نویسندگان
چکیده
منابع مشابه
Transportation-Cost Inequalities on Path Space over Manifolds with Boundary
Let L = ∆ + Z for a C vector field Z on a complete Riemannian manifold possibly with a boundary. A number of transportation-cost inequalities on the path space for the (reflecting) L-diffusion process are proved to be equivalent to the curvature condition Ric−∇Z ≥ −K and the convexity of the boundary (if exists). These inequalities are new even for manifolds without boundary, and are partly ext...
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Let L = ∆+Z for a C1 vector field Z on a complete Riemannian manifold possibly with a boundary. By using the uniform distance, a number of transportation-cost inequalities on the path space for the (reflecting) L-diffusion process are proved to be equivalent to the curvature condition Ric−∇Z ≥ −K and the convexity of the boundary (if exists). These inequalities are new even for manifolds withou...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2016
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2015.08.001