The Morse index theorem for Carnot-Carathéodory spaces

DOI10.1215/kjm/1250518119zbMath0978.53064OpenAlexW1894081327MaRDI QIDQ1279747

Iwao Kishimoto

Publication date: 7 February 2002

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518119

zbMATH Keywords

conjugate pointCarnot-Carathéodory spaceshorizontal curveCarnot-Carathéodory distanceMorse index theoremlength-minimizingstrongly bracket-generating

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)

Related Items (2)

On the Maslov and the Morse index for constrained variational problems. ⋮ Variational aspects of the geodesics problem in sub-Riemannian geometry

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