Morse theory for normal geodesics in sub-Riemannian manifolds with codimension one distrib\-utions

DOI10.12775/TMNA.2003.016zbMath1041.53025WikidataQ115239576 ScholiaQ115239576MaRDI QIDQ1411260

Paolo Piccione, Daniel V. Tausk, Roberto Giambò, Fabio Giannoni

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

Morse theoryPalais-Smale conditiongeodesicsJacobi fieldsexponential mapsub-Riemannian geometryfocal points

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) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25)

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