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词条 Lyusternik–Fet theorem
释义

  1. References

In mathematics, the Lyusternik–Fet theorem states that on every compact Riemannian manifold there exists a closed geodesic. It is named after Lazar Lyusternik and Abram Ilyich Fet.

References

  • https://www.encyclopediaofmath.org/index.php/Closed_geodesic
  • L.A. Lyusternik, A.I. Fet, "Variational problems on closed manifolds" Dokl. Akad. Nauk. SSSR, 81 (1951) pp. 17–18 (In Russian)

2 : Differential geometry|Geodesic (mathematics)

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