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Type: Artigo de periódico
Title: Gradient-like flows on high-dimensional manifolds
Author: Cruz, RN
De Rezende, KA
Abstract: The main purpose of this paper is to study the implications that the homology index of critical sets of smooth flows on closed manifolds M have on both the homology of level sets of M and the homology of M itself. The bookkeeping of the data containing the critical set information of the flow and topological information of M is done through the use of Lyapunov graphs. Our main result characterizes the necessary conditions that a Lyapunov graph must possess in order to be associated to a Morse-Smale flow. With additional restrictions on an abstract Lyapunov graph L we determine sufficient conditions for L to be associated to a how on M.
Country: EUA
Editor: Cambridge Univ Press
Citation: Ergodic Theory And Dynamical Systems. Cambridge Univ Press, v. 19, n. 339, n. 362, 1999.
Rights: embargo
Identifier DOI: 10.1017/S0143385799120893
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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