Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87207
Type: Artigo de periódico
Title: A Backward λ-lemma For The Forward Heat Flow
Author: Weber J.
Abstract: The inclination or λ-lemma is a fundamental tool in finite dimensional hyperbolic dynamics. In contrast to finite dimension, we consider the forward semi-flow on the loop space of a closed Riemannian manifold M provided by the heat flow. The main result is a backward λ-lemma for the heat flow near a hyperbolic fixed point x. There are the following novelties. Firstly, infinite versus finite dimension. Secondly, semi-flow versus flow. Thirdly, suitable adaption provides a new proof in the finite dimensional case. Fourthly and a priori most surprisingly, our λ-lemma moves the given disk transversal to the unstable manifold backward in time, although there is no backward flow. As a first application we propose a new method to calculate the Conley homotopy index of x. © 2014 Springer-Verlag Berlin Heidelberg.
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s00208-014-1026-6
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84904416139&partnerID=40&md5=058cb1d28f052f7e71ba962098dad89b
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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