Factorization of Diffusions on Fibre Bundles

DOI10.2307/2001153zbMath0682.58051OpenAlexW4247451952MaRDI QIDQ4731884

Ming Liao

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001153

zbMATH Keywords

diffusionBrownian motionelliptic operatorsconnectionfiber bundles

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Connections (general theory) (53C05)

Related Items (3)

Decompositions of Diffusion Operators and Related Couplings ⋮ Heat kernels in the context of Kato potentials on arbitrary manifolds ⋮ On the geometrical representation of the path integral reduction Jacobian: the case of dependent variables in a description of reduced motion

Cites Work

• Laplacians and Riemannian submersions with totally geodesic fibres
• Manifold maps commuting with the Laplacian
• The fundamental equations of a submersion
• Totally geodesic maps
• Stochastic differential equations and stochastic flows of diffeomorphisms
• On Automorphisms of A Kählerian Structure
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
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