论文标题
Riemannian曲率半径的几何形状
The geometry of Riemannian curvature radii
论文作者
论文摘要
在本文中，我们探讨了与曲线的曲率半径相关的几何结构，并在riemannian歧管上$（m，g）$上的值。我们表明了与曲率半径自然相关的亚河畔歧管的存在，并研究了它们的特性。我们构造的主要特征是一对全球矢量字段$ f_1，f_2 $，它编码有关$（m，g）$的几何形状的内在信息。
In this paper we explore the geometric structures associated with curvature radii of curves with values on a Riemannian manifold $(M, g)$. We show the existence of sub-Riemannian manifolds naturally associated with the curvature radii and we investigate their properties. The main character of our construction is a pair of global vector fields $f_1, f_2$, which encodes intrinsic information about the geometry of $(M, g)$.
