Morse--Smale Vector Fields without Closed Trajectories on 3-Manifolds
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 254-260
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We study Morse–Smale vector fields on 3-manifolds. A topological classification of such vector fields in terms of homeomorphisms of surfaces with two sets of circles on them is given. An algorithm verifying the existence of such homeomorphisms is constructed.
@article{MZM_2002_71_2_a8,
author = {A. O. Prishlyak},
title = {Morse--Smale {Vector} {Fields} without {Closed} {Trajectories} on {3-Manifolds}},
journal = {Matemati\v{c}eskie zametki},
pages = {254--260},
publisher = {mathdoc},
volume = {71},
number = {2},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/}
}
A. O. Prishlyak. Morse--Smale Vector Fields without Closed Trajectories on 3-Manifolds. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 254-260. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a8/