The sub-Riemannian limit of curvatures for curves and surfaces and a Gauss-Bonnet theorem in the rototranslation group
From MaRDI portal
Publication:2230074
DOI10.1155/2021/9981442zbMath1477.53055OpenAlexW3172148682WikidataQ114069813 ScholiaQ114069813MaRDI QIDQ2230074
Jianyun Guan, Wanzhen Li, Jiajing Miao, Haiming Liu
Publication date: 17 September 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/9981442
Related Items (4)
Gauss-Bonnet theorem in lorentzian Sasakian space forms ⋮ 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 ⋮ 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
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model
- Curvatures of left invariant metrics on Lie groups
- Gravitational lensing under the effect of Weyl and bumblebee gravities: applications of Gauss-Bonnet theorem
- Correction to: ``Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
- Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group
- Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane
- Hawking radiation via Gauss-Bonnet theorem
- Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
- Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group
- Multiplane gravitational lensing. II. Global geometry of caustics
- Applications of the Gauss–Bonnet theorem to gravitational lensing
This page was built for publication: The sub-Riemannian limit of curvatures for curves and surfaces and a Gauss-Bonnet theorem in the rototranslation group