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This article is cited in 4 scientific papers (total in 5 papers)
On the existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere
I. A. Taimanov Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Abstract:
The author gives a complete proof of the Lyusternik–Shnirel'man theorem that on each smooth Riemannian manifold homeomorphic to the 2-sphere there exist at least three distinct nonselfintersecting closed geodesics (the proof by Lyusternik and Shnirel'man contains substantial gaps).
Received: 20.05.1991
Citation:
I. A. Taimanov, “On the existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere”, Izv. RAN. Ser. Mat., 56:3 (1992), 605–635; Russian Acad. Sci. Izv. Math., 40:3 (1993), 565–590
Linking options:
https://www.mathnet.ru/eng/im940https://doi.org/10.1070/IM1993v040n03ABEH002177 https://www.mathnet.ru/eng/im/v56/i3/p605
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Abstract page: | 477 | Russian version PDF: | 167 | English version PDF: | 13 | References: | 85 | First page: | 3 |
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