A Poincaré inequality on loop spaces (Q990153)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Poincaré inequality on loop spaces |
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A Poincaré inequality on loop spaces (English)
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6 September 2010
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The Laplacian on the loop space of a complete Riemannian manifold is defined using the Levi Civita connection, the Brownian bridge measure and the standard Bismut tangent spaces. Then it is shown that the Poincaré inequality holds on the loop space over the hyperbolic space.
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loop space
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Brownian bridge measure
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Poincaré inequality
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Malliavin calculus
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