Abstract:
This paper is a continuation of Part I (Izv. Akad. Nauk SSSR Ser. Mat., 1987, v. 51, № 1, p. 16–43; Math. USSR-Izv. 30 (1988), 15–38). Let L be a (semi) infinite nonselfintersecting continuous curve on a closed surface of nonpositive Euler characteristic and consider the behavior at “infinity” of the curve obtained by lifting ˜L to the universal cover: either the Lobachevsky or the Euclidean plane. The possible types of this behavior for arbitrary ˜L turn out to be the same as those for L which are semitrajectories of C∞ flows. Questions concerning the approach of to infinity along a definite direction are again considered. An example is constructed in which all points of the absolute are limit points in ˜L.
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Citation:
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This publication is cited in the following 18 articles:
Nelson G. Markley, Mary Vanderschoot, Birkhäuser Advanced Texts Basler Lehrbücher, Flows on Compact Surfaces, 2023, 111
Nelson G. Markley, Mary Vanderschoot, Birkhäuser Advanced Texts Basler Lehrbücher, Flows on Compact Surfaces, 2023, 217
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