V. Z. Grines, O. V. Pochinka, A. V. Ruzaev, A. N. Saharov, “Energy function as complete topological invariant for the gradient-like flows with the saddle points of the same Morse index on 3-manifolds”, Zhurnal SVMO, 2013, Volume 15, Number 1,Pages <nobr>16

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. Grines^a, O. V. Pochinka^a, A. V. Ruzaev^b, A. N. Saharov^c

^a N. I. Lobachevski State University of Nizhni Novgorod
^b Mordovian State University, Saransk
^c Nizhnii Novgorod State Agricultural Academy

Abstract: 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.

UDC: 517.938

Received: 06.07.2013