Infinite cup length in free loop spaces with an application to a problem of the N-body type

DOI10.1016/S0294-1449(16)30239-6zbMath0764.58006OpenAlexW183417259MaRDI QIDQ1196156

Edward Fadell, Sufian Husseini

Publication date: 17 December 1992

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_3_305_0

zbMATH Keywords

periodic solutionsconfiguration spacesingular Hamiltonian systemscup lengthLusternik-Schnirelman category of free loop spaces

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time, Multiple closed orbits of fixed energy for \(N\)-body-type problems with gravitational potentials, Non-simultaneous collision periodic solutions for \(N\)-body problems, On the free loop spaces of a toric space, Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential, Relative category, products and coproducts, On the existence of geodesics on stationary Lorentz manifolds with convex boundary, Some remarks on Massey products, tied cohomology classes, and the Lusternik-Shnirelman category, Periodic solutions for \(N\)-body-type problems, Addendum to: On the cohomology of the free loop space of a complex projective space, Critical point theory in knot complements, Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials, Unnamed Item, Multiple critical points for indefinite functionals and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solutions for N-body type dynamical systems
• Periodic solutions of Hamiltonian systems of 3-body type
• The homology theory of the closed geodesic problem
• Homotopy theory of infinite dimensional manifolds
• Infinite-dimensional manifolds are open subsets of Hilbert space
• A Note on the Category of the Free Loop Space
• Category of loop spaces of open subsets in euclidean space
• Conservative Dynamical Systems Involving Strong Forces