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Sub-Riemannian Geodesics

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Sub-Riemannian Geometry and Optimal Transport

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

This chapter deals with sub-Riemannian geodesics. We study first and second-order variations of the End-Point mapping to derive necessary and sufficient conditions for an horizontal path to be minimizing.

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Authors and Affiliations

  1. Laboratoire J.A. Dieudonné, Université Nice Sophia Antipolis, Nice, France

    Ludovic Rifford

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  1. Ludovic Rifford
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Correspondence to Ludovic Rifford .

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Rifford, L. (2014). Sub-Riemannian Geodesics. In: Sub-Riemannian Geometry and Optimal Transport. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-04804-8_2

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