Critical point theory of symmetric functions and closed geodesics

DOI10.1016/S0926-2245(96)00032-0zbMath0874.53035OpenAlexW2059786199WikidataQ115337642 ScholiaQ115337642MaRDI QIDQ1356795

Mónica Clapp, Dieter Puppe

Publication date: 13 October 1997

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00032-0

zbMATH Keywords

closed geodesicsfree loop spaceequivariant critical point theory

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Loop spaces (55P35) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (1)

Spherical complexities with applications to closed geodesics

Cites Work

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• On the number of closed geodesics on projective spaces
• On the non-existence of elements of Hopf invariant one
• On G-ANR's and their G-homotopy types
• Existence of closed geodesics on positively curved manifolds
• Geodätische Linien auf Riemannschen Mannigfaltigkeiten
• Transformation groups
• Manifolds which are like projective planes
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• The homology theory of the closed geodesic problem
• Equivariant Morse theory and closed geodesics
• Closed geodesics
• Periodic geodesics on compact Riemannian manifolds
• An invariant for certain smooth manifolds
• Morse theory on Hilbert manifolds
• On the multiplication in the characteristic ring of a sphere bundle
• La cohomologie \(\mod 2\) de certains espaces homogènes
• On periodicity problems in the calculus of variations in the large
• On the Free Loop Space of Homogeneous Spaces
• SOME HOMOLOGY CLASSES IN THE SPACE OF CLOSED CURVES IN THEn-DIMENSIONAL SPHERE
• CERTAIN HOMOTOPIES IN THE SPACE OF CLOSED CURVES
• ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES
• The theorem of the three closed geodesics
• THE TOPOLOGY OF FUNCTIONAL MANIFOLDS AND THE CALCULUS OF VARIATIONS IN THE LARGE
• Corrections to "On the Free Loop Space of Homogeneous Spaces"

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