Integrability conditions on a sub-Riemannian structure on \(\mathbb {S}^3\)

DOI10.1007/S13324-016-0126-8zbMath1364.93061OpenAlexW2345302158WikidataQ115376068 ScholiaQ115376068MaRDI QIDQ2356700

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

Publication date: 6 June 2017

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

Full work available at URL: https://doi.org/10.1007/s13324-016-0126-8

zbMATH Keywords

curlintegrability conditionshorizontal distributionsub-Riemannian system

Mathematics Subject Classification ID

Controllability (93B05) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (1)

Poincaré's lemma on some non-Euclidean structures

Uses Software

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Cites Work

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• Integrability conditions for Heisenberg and Grushin-type distributions
• Integrability conditions on Engel-type manifolds
• Poincaré's lemma on the Heisenberg group
• Hypoelliptic second order differential equations
• SubRiemannian Geometry on the Sphere 𝕊³
• Integrability conditions for the Grushin and Martinet distributions

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