Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (2): 111-134.doi: 10.13371/j.cnki.chin.q.j.m.2025.02.001

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ub-Riemannian Limits, Connections with Torsion and the Gauss-Bonnet Theorem for Four Dimensional Twisted BCV Spaces

  

  1. 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China; 2. Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, China
  • Received:2024-12-10 Online:2025-06-30 Published:2025-06-12
  • About author:LI Hong-feng (1997-), male, native of Anshan, Liaoning, postgraduate student of Northeast Normal University, engages in global differential geometry; LIU Ke-feng (1965-), male, native of Kaifeng, Henan, professor of Chongqing University of Technology, engages in complex geometry; WANG Yong (1976-), male, native of Changchun, Jilin, professor of Northeast Normal University, engages in global differential geometry.
  • Supported by:
    Supported by National Natural Science Foundation of China (Grant No. 11771070).

Abstract: In this paper, we compute sub-Riemannian limits of some important curvature variants associated with the connection with torsion for four dimensional twisted BCV spaces and derive a Gauss-Bonnet theorem for four dimensional twisted BCV spaces.

Key words: Gauss-Bonnet theorem, Sub-Riemannian limit, Twisted BCV spaces, Orthogonal connections with torsion

CLC Number: