Research article

Gauss-Bonnet theorem in Lorentzian Sasakian space forms

  • Received: 11 March 2021 Accepted: 03 June 2021 Published: 10 June 2021
  • MSC : 53C40, 53C42

  • In this paper, we use a Lorentzian approximation scheme to compute the sub-Lorentzian limit of curvatures for curves and Lorentzian surfaces in the Lorentzian Bianci-Cartan-Vranceanu model of $ 3 $-dimensional Lorentzian Sasakian space forms. Based on these results, we get a Gauss-Bonnet theorem in the Lorentzian Sasakian space forms.

    Citation: Haiming Liu, Jiajing Miao. Gauss-Bonnet theorem in Lorentzian Sasakian space forms[J]. AIMS Mathematics, 2021, 6(8): 8772-8791. doi: 10.3934/math.2021509

    Related Papers:

  • In this paper, we use a Lorentzian approximation scheme to compute the sub-Lorentzian limit of curvatures for curves and Lorentzian surfaces in the Lorentzian Bianci-Cartan-Vranceanu model of $ 3 $-dimensional Lorentzian Sasakian space forms. Based on these results, we get a Gauss-Bonnet theorem in the Lorentzian Sasakian space forms.



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    [9] S. Wei, Y. Wang, Gauss-Bonnet theorems in the Lorentzian Heisenberg group and the Lorentzian group of rigid motions of the Minkowski plane, Symmetry, 13 (2021), 173. Available from: https://doi.org/10.3390/sym13020173.
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  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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