On classification of Morse-Smale flows on projective-like manifolds
В. З. Гринес, Elena Yakovlevna Gurevich · Izvestiya Mathematics · 2022
In this paper, the problem of topological classification of gradient-like flows without heteroclinic intersections, given on a four-dimensional projective-like manifold, is solved. We show that a complete topological invariant for such flows is a bi-color graph that describes the mutual arrangement of closures of three-dimensional invariant manifolds of saddle equilibrium states. The problem of construction of a canonical representative in each topological equivalence class is solved.