On the Spherical Hausdorff Measure in Step 2 Corank 2 Sub-Riemannian Geometry

DOI10.1137/12089449XzbMath1318.53021arXiv1210.2615OpenAlexW2053678339WikidataQ115246997 ScholiaQ115246997MaRDI QIDQ5408799

Jean-Paul Gauthier, Ugo V. Boscain

Publication date: 11 April 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2615

zbMATH Keywords

optimal controlsub-Riemannian geometryHausdorff volumePopp's measuresub-Riemannian Laplacian

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Integration on manifolds; measures on manifolds (58C35) Sub-Riemannian geometry (53C17)

Related Items (3)

Frame potentials and the geometry of frames ⋮ A formula for Popp's volume in sub-Riemannian geometry ⋮ Geodesics and horizontal-path spaces in Carnot groups

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