AI 中文总结
研究满足σT条件的球对称芬斯勒度量，通过刻画该度量及研究其在兰斯贝格类中的子类，确定相关条件，还构造了经典独角兽问题新解，给出非贝尔瓦尔德的兰斯贝格度量例子。
AI 中文摘要
本文给出了满足σT条件的球对称芬斯勒度量的完整刻画。进一步研究了此类度量在兰斯贝格类中的子类，确定了满足T条件的球对称芬斯勒度量必定也是贝尔瓦尔德度量的精确条件。此外，构造了经典独角兽问题的新的非正则解，给出了非贝尔瓦尔德的兰斯贝格度量的明确例子。
英文摘要
In this paper, we present a complete characterization of spherically symmetric Finsler metrics that satisfy the $σT$-condition. We further investigate the subclass of such metrics within the Landsberg category and identify the precise conditions under which spherically symmetric Finsler metrics satisfying the $T$-condition must also be Berwaldian. In addition, we construct new non-regular solutions to the classical unicorn problem, providing explicit examples of Landsberg metrics that are not Berwaldian.
Comments14 pages
