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• W1566734135 abstract "The curvature discussed in this paper is a rather far going generalization of the Riemannian 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.
• W1566734135 created "2016-06-24" @default.
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• W1566734135 date "2018-11-01" @default.
• W1566734135 modified "2023-10-15" @default.
• W1566734135 title "Curvature: A Variational Approach" @default.
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• W1566734135 doi "https://doi.org/10.1090/memo/1225" @default.
• W1566734135 hasPublicationYear "2018" @default.
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