First variation of the Hausdorff measure of non-horizontal submanifolds in sub-Riemannian stratified Lie groups

DOI10.1007/s10883-016-9339-2zbMath1382.49049arXiv1404.1432OpenAlexW2484307260WikidataQ115383661 ScholiaQ115383661MaRDI QIDQ2404232

Maria R. B. Santos, Marcos M. Diniz, Jose Miguel Martins Veloso

Publication date: 18 September 2017

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1432

zbMATH Keywords

Heisenberg groupfirst variationstratified Lie groupsminimal measurenon-horizontal submanifoldsspherical Hausdorff measure

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Related Items (3)

Rotation surfaces of constant Gaussian curvature and mean curvature in sub-Riemannian Heisenberg space \(\mathbb H^1\) ⋮ Gauss-Bonnet theorems for surfaces in sub-Riemannian three-dimensional manifolds ⋮ Second variation of sub-Riemannian surface measure of non-horizontal submanifolds in sub-Riemannian stratified Lie groups

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