Lyusternik–Fet theorem
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Short description: Mathematical theorem
In mathematics, the Lyusternik–Fet theorem states that on every compact Riemannian manifold there exists a closed geodesic.[1] It is named after Lazar Lyusternik and Abram Ilyich Fet, who published it in 1951.[2]
References
- ↑ Hazewinkel, Michiel, ed. (2001), "Closed geodesic", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Main_Page
- ↑ L.A. Lyusternik, A.I. Fet, "Variational problems on closed manifolds" Dokl. Akad. Nauk. SSSR, 81 (1951) pp. 17–18 (In Russian)
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