Condition $\left( {\text{C}} \right)$ and geodesics on Sobolev manifolds

DOI10.1090/S0002-9904-1971-12836-7zbMath0229.58008MaRDI QIDQ5637664

Halldor I. Eliasson

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (7)

Morse theory for elastica ⋮ Completeness properties of Sobolev metrics on the space of curves ⋮ Conditional extremals in complete Riemannian manifolds ⋮ Integrability of weak distributions on Banach manifolds ⋮ On Sussmann theorem for orbits of sets of vector fields on Banach manifolds ⋮ Existence of variationally defined curves with higher order elliptic Lagrangians ⋮ On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach

Cites Work

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• Morse theory and a non-linear generalization of the Dirichlet problem
• Morse theory on Hilbert manifolds
• A generalized Morse theory

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