Random holonomy of Hopf fibrations

DOI10.1006/jfan.2000.3724zbMath0985.58020OpenAlexW2127765502MaRDI QIDQ5939931

Robert Otto Bauer, Eric Anders Carlen

Publication date: 18 May 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3724

zbMATH Keywords

heat equationprojective spaceholonomyfibrationHopf fibrationhorizontal Laplacianstochastic parallel transport

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Issues of holonomy in differential geometry (53C29)

Cites Work

• Large deviations and the Malliavin calculus
• Random holonomy for Yang-Mills fields: Long-time asymptotics
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
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