Abstract
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a Euclidean $$C^2$$ -smooth surface in the BCV spaces and the twisted Heisenberg group away from characteristic points and signed geodesic curvature for Euclidean $$C^2$$ -smooth curves on surfaces. We get Gauss–Bonnet theorems in the BCV spaces and the twisted Heisenberg group.
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