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Type: Artigo de periódico
Title: Minimal Morse flows on compact manifolds
Author: Bertolim, MA
de Rezende, KA
Vago, GM
Abstract: In this paper we prove, using the Poincare-Hopf inequalities, that a minimal number of non-degenerate singularities can be computed in terms only of abstract homological boundary information. Furthermore, this minimal number can be realized on some manifold with non-empty boundary satisfying the abstract homological boundary information. In fact, we present all possible indices and types (connecting or disconnecting) of singularities realizing this minimal number. The Euler characteristics of all manifolds realizing this minimal number are obtained and the associated Lyapunov graphs of Morse type are described and shown to have the lowest topological complexity. (C) 2006 Elsevier B.V.. All rights reserved.
Subject: Conley index
Poincare-Hopf inequalities
Lyapunov graphs
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.topol.2006.03.005
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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