Geodesic
On~classification of Morse--Smale flows on projective-like manifolds
Izvestiya. Mathematics , Tome 86 (2022) no. 5, pp. 876-902

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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.
Keywords: gradient-like flows, topological classification, projective-like manifolds, Morse function with three critical points, complex projective plane. 
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     author = {V. Z. Grines and E. Ya. Gurevich},
     title = {On~classification of {Morse--Smale} flows on projective-like manifolds},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2022_86_5_a3/}
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V. Z. Grines; E. Ya. Gurevich. On~classification of Morse--Smale flows on projective-like manifolds. Izvestiya. Mathematics , Tome 86 (2022) no. 5, pp. 876-902. http://geodesic.mathdoc.fr/item/IM2_2022_86_5_a3/