A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (I)

DOI10.1142/S0219887811005361zbMath1230.53030OpenAlexW4244130316WikidataQ115245440 ScholiaQ115245440MaRDI QIDQ3087868

Aurel Bejancu

Publication date: 17 August 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887811005361

zbMATH Keywords

sub-Riemannian geometryhorizontal LaplacianconnectionHeisenberg distributionhorizontal curvature tensor fieldhorizontal Ricci curvature

Mathematics Subject Classification ID

Connections (general theory) (53C05) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (1)

A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (II)

Cites Work

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• Constant mean curvature surfaces in sub-Riemannian geometry
• Nonholonomic mechanical systems with symmetry
• On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds

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