Bismut Type Formulae for Diffusion Semigroups on Riemannian Manifolds |
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| Authors: | Ana Bela Cruzeiro Xicheng Zhang |
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| Institution: | (1) Departamento Matemática I.S.T., Av. Rovisco Pais, 1049-001 Lisbon, Portugal;(2) Grupo de Física-Matemática U.L., Lisbon, Portugal;(3) Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, PR China |
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| Abstract: | Applying the stochastic calculus of variations on frame bundles along tangent processes, we derive Bismut type formulae for the derivatives of diffusion semigroups on Riemannian manifold in both variables. We also obtain the Bismut formulae expressed in terms of the Ricci and torsion tensors for the connection with torsion. |
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| Keywords: | 58J35 60H07 35B65 58J65 |
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