AI 中文总结
该研究针对二阶次黎曼流形,探究正则异常测地线的分支问题,给出两类新现象的实例,丰富了次黎曼几何中测地线分支的相关研究。
AI 中文摘要
我们研究二阶次黎曼流形中正则异常测地线的分支,作为应用,给出两类新现象的例子:严格异常分支测地线的连续族,以及具有可数多个分支点积累的测地线。
英文摘要
We study branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two. As an application, we provide examples of two new phenomena: continuous families of strictly abnormal branching geodesics, and geodesics with an accumulation of countably many branching points.
Comments32 pages, 5 figures