Horizontal connection and horizontal mean curvature in Carnot groups

DOI10.1007/s10114-005-0572-yzbMath1113.53022OpenAlexW2086563122MaRDI QIDQ2508591

Kanghai Tan, Xiao-Ping Yang

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0572-y

zbMATH Keywords

Carnot groupnonholonomic connectionhorizontal mean curvaturehorizontal second fundamental formhorizontal shape operatorsub-Riemannian minimal surface

Mathematics Subject Classification ID

Linear and affine connections (53B05) Sub-Riemannian geometry (53C17)

Related Items (1)

Variational formulas for curves of fixed degree

Cites Work

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• Non-holonomic connections following Élie Cartan
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Rectifiability and perimeter in the Heisenberg group

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