Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows

Simple item page
dc.creatorElworthy, K. D.
dc.creatorRosenberg, Steven
dc.date1995-03-22
dc.date.accessioned2026-07-07T09:12:30Z
dc.date.available2026-07-07T09:12:30Z
dc.descriptionWe relate stability properties (i.e. moment exponents) of a stochastic dynamical system on a compact manifold $M$ to the homotopy and integral homology groups of $M$. In the special case of gradient Brownian systems associated to isometric immersions of $M$ in Euclidean space, these moment exponents can be estimated in terms of the second fundamental form of the immersion. This yields topological obstructions to isometric immersions generalizing results of Lawson-Simons and others. Our work also places these authors' work into the general framework of Weitzenböck formulas.
dc.descriptionuuencoded postscript file
dc.identifierhttps://arxiv.org/abs/dg-ga/9503008
dc.identifierhttp://arxiv.org/abs/dg-ga/9503008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152042
dc.subjectDifferential Geometry
dc.titleHomotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows
dc.typetext

Files

Collections

arXiv