Turkish Journal of Mathematics
Abstract
In this paper, we compute sub-Riemannian limits of Gaussian curvature for a C$^{2}$-smooth surface in the Lorentzian Heisenberg group for the second Lorentzian metric and the third Lorentzian metric and signed geodesic curvature for C$^{2}$-smooth curves on surfaces. We get Gauss-Bonnet theorems in the Lorentzian Heisenberg group for the second Lorentzian metric and the third Lorentzian metric.
DOI
10.3906/mat-2011-19
Keywords
Lorentzian Heisenberg group, the second Lorentzian metric, the third Lorentzian metric, Gauss-Bonnet theorem, sub-Riemannian limit
First Page
718
Last Page
741
Recommended Citation
Wu, T, WEI, S, & WANG, Y (2021). Gauss-Bonnet theorems and the Lorentzian Heisenberg group. Turkish Journal of Mathematics 45 (2): 718-741. https://doi.org/10.3906/mat-2011-19
