Homotopy and homology vanishing theorems and the stability of stochastic flows

DOI10.1007/BF02246767zbMath0858.58053arXivdg-ga/9503008OpenAlexW2054066311MaRDI QIDQ1913617

Steven Rosenberg, K. David Elworthy

Publication date: 25 March 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9503008

zbMATH Keywords

stochastic differential equationWeitzenböck formulaintegral currentsmoment exponents

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Algebraic topology of manifolds (57N65)

Related Items (8)

Superprocesses of stochastic flows ⋮ Estimates for the volume variation of compact submanifolds driven by a stochastic flow ⋮ Stochastic differential equations on noncompact manifolds: Moment stability and its topological consequences ⋮ Stochastic Lagrangian perturbation of Lie transport and applications to fluids ⋮ Differentiable sphere theorems for submanifolds of positive \(k\)-th Ricci curvature ⋮ Contractibility of manifolds by means of stochastic flows ⋮ An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group ⋮ Homology vanishing theorems for submanifolds

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