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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2012, Volume 14, Number 4, Pages 7–13 (Mi svmo345)  

Equivalence of Morse-Smale flows on 4-manifolds

E. V. Zhuzhomaa, V. S. Medvedevb

a Nizhny Novgorod State Pedagogical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
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Abstract: The paper concerns to the question of a topological classification of Morse-Smale flows with three critical points on closed 4-manifolds. One proves that if $f^t_1$, $f^t_2$ are Morse-Smale flows with the non-wandering set consisting of three points on closed 4-manifolds $M^4_1$, $M^4_2$ respectively, then $f^t_1$, $f^t_2$ are topologically equivalent.
Keywords: Topological classification, Morse-Smale flows, 4-manifolds.
Document Type: Article
UDC: 517.938
Language: Russian
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    Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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