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• W3100104438 abstract "The curvature discussed in this paper is a rather far going generalization of the Riemann sectional curvature. We define it for a wide class of optimal control problems: a unified framework including geometric structures such as Riemannian, sub-Riemannian, Finsler and sub-Finsler structures; a special attention is paid to the sub-Riemannian (or Carnot-Caratheodory) metric spaces. Our construction of the curvature is direct and naive, and it is similar to the original approach of Riemann. Surprisingly, it works in a very general setting and, in particular, for all sub-Riemannian spaces." @default.
• W3100104438 created "2020-11-23" @default.
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• W3100104438 date "2018-10-31" @default.
• W3100104438 modified "2023-10-01" @default.
• W3100104438 title "Curvature: A Variational Approach" @default.
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• W3100104438 hasPublicationYear "2018" @default.
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