数学季刊 >

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

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

四维扭化BCV空间的次黎曼极限，带挠率的联络以及Gauss-Bonnet定理

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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.

收稿日期: 2024-12-10

  网络出版日期: 2025-06-12

基金资助

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

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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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摘要

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.

关键词： Gauss-Bonnet theorem; Sub-Riemannian limit; Twisted BCV spaces; Orthogonal connections with torsion

本文引用格式

李洪峰, 刘克峰, 王勇 . 四维扭化BCV空间的次黎曼极限，带挠率的联络以及Gauss-Bonnet定理[J]. 数学季刊, 2025 , 40(2) : 111 -134 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.02.001

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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