On the Maslov and the Morse index for constrained variational problems.

DOI10.1016/S0021-7824(01)01225-9zbMath1038.37050MaRDI QIDQ1406896

Paolo Piccione, Daniel V. Tausk

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Morse indexnonholonomic mechanicsMaslow indexsymplectic differential systems

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (3)

On the variational mechanics with nonlinear constraints ⋮ The Maslov index and some applications to dispersion relations in curved space times ⋮ On the Morse-Ekeland index and Hamiltonian oscillations

Cites Work

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• A generalized index theorem for Morse-Sturm systems and applications to semi-Riemannian geometry
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• Singular extremals on Lie groups
• A survey of singular curves in sub-Riemannian geometry
• An Index Theorem for Non-Periodic Solutions of Hamiltonian Systems
• The Maslov index and a generalized Morse index theorem for non-positive definite metrics
• Lagrangian and Hamiltonian formalism for constrained variational problems
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Variational aspects of the geodesics problem in sub-Riemannian geometry

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