Tangent vectors to sets in the theory of geodesics

DOI10.1017/S0027763000000866zbMath0611.53043OpenAlexW1497256768MaRDI QIDQ3750586

Motreanu, Dumitru

Publication date: 1987

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000000866

zbMATH Keywords

energy integralcritical pointgeodesics between closed subsetstangent vector subset

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

• Unnamed Item
• On geodesic with the same angle
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Quasi-tangent vectors in flow-invariance and optimization problems on Banach manifolds
• On the variational principle
• Kritische Mannigfaltigkeiten in Hilbertmannigfaltigkeiten
• Morse theory on Hilbert manifolds
• Optimization problems on complete Riemannian manifolds
• Nonconvex minimization problems
• On some types of geodesics on Riemannian manifolds
• A generalized Morse theory

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