A de Rham decomposition type theorem for contact sub-Riemannian manifolds

DOI10.1007/s13324-021-00624-yzbMath1483.53054OpenAlexW3215298410WikidataQ115376016 ScholiaQ115376016MaRDI QIDQ2054430

Marek Grochowski

Publication date: 2 December 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00624-y

zbMATH Keywords

connectionssub-Riemannian geometryde Rham decomposition theoremcontact distributions

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Sub-Riemannian geometry (53C17)

Related Items (1)

Corrigendum to: ``Connections on bundles of horizontal frames associated with contact sub-pseudo-Riemannian manifolds

Cites Work

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• Constant curvature models in sub-Riemannian geometry
• Horizontal holonomy and foliated manifolds
• The de Rham decomposition theorem for metric spaces
• On the de Rham decomposition theorem
• Smoothness of subRiemannian isometries
• Holonomy of Sub-Riemannian Manifolds
• On contact sub-pseudo-Riemannian isometries
• Riemannian geometry of contact and symplectic manifolds

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