On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds

DOI10.1017/S0004972700034407zbMath1076.53036arXivmath/0701401WikidataQ115336936 ScholiaQ115336936MaRDI QIDQ3158792

Kanghai Tan, Xiao-Ping Yang

Publication date: 31 January 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701401

zbMATH Keywords

hypersurfaceconnectivitysub-Riemannian manifolds

Mathematics Subject Classification ID

Global submanifolds (53C40) Sub-Riemannian geometry (53C17)

Related Items (6)

Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold ⋮ Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces ⋮ The growth of \(H\)-harmonic functions on the Heisenberg group ⋮ A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (I) ⋮ Curvature in sub-Riemannian geometry ⋮ On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

Cites Work

• Unnamed Item
• Nonholonomic problems and the theory of distributions
• Vector fields and other vector bundle morphisms - a singularity approach
• A blow-up theorem for regular hypersurfaces on nilpotent groups
• Nonholonomic mechanical systems with symmetry
• Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• A notion of rectifiability modeled on Carnot groups
• Orbits of Families of Vector Fields and Integrability of Distributions
• Rectifiability and perimeter in the Heisenberg group

This page was built for publication: On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds