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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2012, Volume 14, Number 4, Pages 7–13
(Mi svmo345)
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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
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.
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https://www.mathnet.ru/eng/svmo345
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Abstract page: | 35 | References: | 24 |
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