A nonparametric proof of the theorem of Lusternik and Schnirelman

DOI10.1007/BF01324725zbMath0676.58018OpenAlexW2119326493MaRDI QIDQ1122841

Juergen Jost

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01324725

zbMATH Keywords

Besicovitch covering lemmaLyusternik-Schnirelman theorem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (9)

Closed geodesics on reversible Finsler 2-spheres ⋮ The existence of two closed geodesics on every Finsler 2-sphere ⋮ Existence of infinitely many minimal hypersurfaces in positive Ricci curvature ⋮ LENGTHS OF SIMPLE PERIODIC GEODESICS ON TWO-DIMENSIONAL RIEMANNIAN SPHERES ⋮ The p-widths of a surface ⋮ Lengths of three simple periodic geodesics on a Riemannian 2-sphere ⋮ Homology Classes of the Circle Space on Spheres and the Discontinuity of Deformations ⋮ The (p;m)-width of Riemannian manifolds and its realization ⋮ Correction to ``A nonparametric proof of the theorem of Lusternik and Schnirelman

Cites Work

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• Existence of closed geodesics on positively curved manifolds
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinks embedded plane curves to round points
• Doppelpunktfreie geschlossene Geodätische auf kompakten Flächen
• Equivariant Morse theory and closed geodesics
• Riemannian geometry

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