Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean $ C^2 $-smooth surface in the generalized affine group and the generalized BCV spaces away from characteristic points and signed geodesic curvature for Euclidean $ C^2 $-smooth curves on surfaces. We get Gauss-Bonn...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2021-08-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021678?viewType=HTML |