Energy function as complete topological invariant for the gradient-like flows with the saddle points of the same Morse index on 3-manifolds
V. Z. Grines1, O. V. Pochinka2, A. V. Ruzaev3, A.N. Sakharov.4
| Annotation | It is shown that for gradient-like flows with the same Morse index on closed 3-manifolds the energy function is a complete invariant. |
|---|---|
| Keywords | Morse-Smale flows, energy function, the topological equivalence |
1Professor of Chair of numerical and functional analysis, Lobachevskii State University, Nizhny Novgorod, vgrines@yandex.ru
2Associated Professor of Chair of Theory of Functions, Lobachevsky State University, Nizhny Novgorod, olga-pochinka@yandex.ru
3Graduatied student, Mordovian State University after N.P. Ogarev, Saransk
4Assistant professor of department of higher mathematic, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ansakharov2008@yandex.ru.
Citation: V. Z. Grines, O. V. Pochinka, A. V. Ruzaev, A.N. Sakharov., "[Energy function as complete topological invariant for the gradient-like flows with the saddle points of the same Morse index on 3-manifolds]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:1 (2013) 16–22 (In Russian)
