On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

DOI10.1051/cocv/2021104zbMath1496.53041arXiv2009.11748OpenAlexW3215754316WikidataQ114011517 ScholiaQ114011517MaRDI QIDQ5024345

Daniele Cannarsa, Ugo V. Boscain, Davide Barilari

Publication date: 31 January 2022

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11748

zbMATH Keywords

Heisenberg groupsub-Riemannian geometrycontact geometryGaussian curvaturelength spaceRiemannian approximation

Mathematics Subject Classification ID

Local submanifolds (53B25) Sub-Riemannian geometry (53C17) Contact structures in 3 dimensions (57K33)

Related Items

Introducing sub-Riemannian and sub-Finsler billiards ⋮ Gauss-Bonnet theorems for surfaces in sub-Riemannian three-dimensional manifolds ⋮ Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold ⋮ Surfaces of genus g ≥ 1 in 3D contact sub-Riemannian manifolds

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