Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group

DOI10.1007/s00025-020-01254-9zbMath1450.53046OpenAlexW3042491069MaRDI QIDQ2200283

Yong Wang, Sining Wei

Publication date: 19 September 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01254-9

zbMATH Keywords

Gauss-Bonnet theoremBianchi-Cartan-Vranceanu spacessub-Riemannian limittwisted Heisenberg group

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items

Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces, Sub-Lorentzian geometry of curves and surfaces in a Lorentzian Lie group, Gauss-Bonnet theorem in the universal covering group of Euclidean motion group \(E(2)\) with the general left-invariant metric, Gauss-Bonnet theorems for surfaces in sub-Riemannian three-dimensional manifolds, The sub-Riemannian limit of curvatures for curves and surfaces and a Gauss-Bonnet theorem in the rototranslation group, The sub-Riemannian limit of curvatures for curves and surfaces and a Gauss-Bonnet theorem in the group of rigid motions of Minkowski plane with general left-invariant metric

Cites Work

• Gauss-Bonnet theorem in sub-Riemannian Heisenberg space \(\mathbb H^1\)
• Constant angle surfaces in the Heisenberg group
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Collapse of warped foliations
• Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group
• Warped compact foliations