Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane

Author:

Wang Yong,Wei Sining

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference5 articles.

1. Balogh Z, Tyson J, Vecchi E. Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group. Math Z, 2017, 287: 1–38

2. Balogh Z, Tyson J, Vecchi E. Correction to: Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group. Math Z, 2020, in press

3. Capogna L, Danielli D, Pauls S, et al. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem. Progress in Mathematics, vol. 259. Basel: Birkhäuser, 2007

4. Diniz M, Veloso M. Gauss-Bonnet theorem in sub-Riemannian Heisenberg space. J Dyn Control Syst, 2016, 22: 807–820

5. Veloso M. Rotation surfaces of constant Gaussian curvature as Riemannian approximation scheme in sub-Riemannian Heisenberg space ℍ1. ArXiv:1909.13341, 2019

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