Integrability conditions on Engel-type manifolds

DOI10.1007/S13324-015-0107-3zbMath1320.93016OpenAlexW776227965MaRDI QIDQ496350

Jishan Hu, Ovidiu Calin, Der-Chen E. Chang

Publication date: 21 September 2015

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://repository.ust.hk/ir/bitstream/1783.1-72681/1/601410-Article-4-fulltext-pre.pdf

zbMATH Keywords

sub-Riemannian geometryintegrability conditionsPoincaré lemmaHeisenberg distributionEngel vector fields

Mathematics Subject Classification ID

Controllability (93B05) Variational problems in a geometric measure-theoretic setting (49Q20) Sub-Riemannian geometry (53C17)

Related Items (3)

A vector field potentiality criterion in sub-Riemannian geometry ⋮ Poincaré's lemma on some non-Euclidean structures ⋮ Integrability conditions on a sub-Riemannian structure on \(\mathbb {S}^3\)

Cites Work

• Unnamed Item
• Integrability conditions for Heisenberg and Grushin-type distributions
• Poincaré's lemma on the Heisenberg group
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
• Hypoelliptic second order differential equations
• On sub-Riemannian geodesics on the Engel groups: Hamilton's equations
• Integrability conditions for the Grushin and Martinet distributions

This page was built for publication: Integrability conditions on Engel-type manifolds