Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane |
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| Authors: | Wang Yong Wei Sining |
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| Institution: | 1.School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China
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| Abstract: | In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean C~2-smooth surface in the affine group and the group of rigid motions of the Minkowski plane away from characteristic points and signed geodesic curvature for Euclidean C~2-smooth curves on surfaces. We get Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane. |
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