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...

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Bibliographic Details
Main Authors: Tong Wu, Yong Wang
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