Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces | Zendy

Tong Wu | Zendy; Yong Wang | Zendy

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Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces

Author(s) -

Tong Wu,

Yong Wang

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021678

Subject(s) - mathematics , gaussian curvature , affine transformation , pure mathematics , heisenberg group , euclidean geometry , group (periodic table) , geodesic , curvature , mathematical analysis , geometry , physics , quantum mechanics

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-Bonnet theorems in the generalized affine group and the generalized BCV spaces.

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