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

LI Hong-feng, LIU Ke-feng, WANG Yong

doi:10.13371/j.cnki.chin.q.j.m.2025.02.001

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 2: 111 - 134

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.02.001

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

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1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China; 2. Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, China

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.

WANG Yong (1976-), male, native of Changchun, Jilin, professor of Northeast Normal University, engages in global differential geometry.

Received date: 2024-12-10

Online published: 2025-06-12

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11771070).

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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

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LI Hong-feng, LIU Ke-feng, WANG Yong . ub-Riemannian Limits, Connections with Torsion and the Gauss-Bonnet Theorem for Four Dimensional Twisted BCV Spaces[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(2) : 111 -134 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.02.001

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