This article is cited in 30 papers

Trajectories on nonorientable two-dimensional manifolds

S. Kh. Aranson


Abstract: This paper studies the question of decomposition of a closed nonorientable two-dimensional manifold of arbitrary genus into maximal connected components (cells), consisting of trajectories which behave “similarly” in the sense of stability of orbits and in the sense of geometrical equivalence.
Figures: 2.
Bibliography: 20 titles.

UDC: 517.917

MSC: 57M50, 37E30, 70K05, 51E15

Received: 04.11.1968

 English version: Mathematics of the USSR-Sbornik, 1969, 9:3, 297–313

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