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Type: Artigo de periódico
Abstract: In this paper, we determine properties that a Lyapunov graph must satisfy for it to be associated with a gradient-like flow on a closed orientable three-manifold. We also address the question of the realization of abstract Lyapunov graphs as gradient-like flows on three-manifolds and as a byproduct we prove a partial converse to the theorem which states the Morse inequalities for closed orientable three-manifolds. We also present cancellation theorems of non-degenerate critical points for flows which arise as realizations of canonical abstract Lyapunov graphs.
Editor: Cambridge Univ Press
Citation: Ergodic Theory And Dynamical Systems. Cambridge Univ Press, v. 13, n. 557, n. 580, 1993.
Rights: embargo
Date Issue: 1993
Appears in Collections:Unicamp - Artigos e Outros Documentos

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