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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Acknowledgements
The first author was supported in part by NSFC No. 11771070. The author thanks the referee for his (or her) careful reading and helpful comments.
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Wang, Y., Wei, S. Gauss–Bonnet Theorems in the BCV Spaces and the Twisted Heisenberg Group. Results Math 75, 126 (2020). https://doi.org/10.1007/s00025-020-01254-9
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DOI: https://doi.org/10.1007/s00025-020-01254-9