一类具有弱迷向旗曲率的芬斯勒度量
PDF下载 (89)乔海滨,李本伶*.一类具有弱迷向旗曲率的芬斯勒度量[J].宁波大学学报(理工版),2025,38(3):111-115.DOI:10.20098/j.cnki.1001-5132.2024.1003
QIAO Haibin,LI Benling.
A class of Finsler metrics with weakly isotropic flag curvature
[J].Journal of Ningbo University(Natural Science & Engineering Edition),2025,38(3):111-115.DOI:10.20098/j.cnki.1001-5132.2024.1003| Title: | A class of Finsler metrics with weakly isotropic flag curvature |
| 作者: | 乔海滨, 李本伶*, "> QIAO Haibin, LI Benling |
| Author(s): | <p class="7" style="font-size:medium, white-space:normal, "> QIAO Haibin, LI Benling |
| 关键词: | 芬斯勒度量; 旗曲率; 弱Landsberg度量; 弱迷向旗曲率 |
| Keywords: | Finsler metric; flag curvature; weakly Landsberg metric; weakly isotropic flag curvature |
| 分类号: | O186 |
| DOI: | 10.20098/j.cnki.1001-5132.2024.1003 |
| 文献标识码: | A |
| 摘要: | 为研究一类特殊的芬斯勒度量, 即具有弱迷向旗曲率的弱Landsberg度量, 首先研究了这类特殊度量的一些特殊性质, 其次给出了这类特殊度量的畸变, 最后证明这类度量在特定情形下会退化成黎曼度量。 |
| Abstract: | A specific class of Finsler metrics, namely weakly Landsberg metrics with weakly isotropic flag curvature, is studied. Firstly, some special properties of this specific class of metrics are studied. Secondly, the distortion of these specific metrics is given. Finally, it is proved that such metrics degenerate into Riemannian metrics under certain conditions. |
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| 备注/Memo: | 收稿日期: 2024−10−16 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（12471045）; 浙江省自然科学基金（LY23A010012）; 宁波市自然科学基金（2024J017） 第一作者: 乔海滨, 硕士研究生, 主要研究方向: 微分几何、Finsler几何。E-mail: 2443663404@qq.com *通信作者: 李本伶, 教授, 主要研究方向: 微分几何、Finsler几何。E-mail: libenling@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
