论文标题
Alexandrov几何学中Toponogov定理的证明
A proof of Toponogov's theorem in Alexandrov geometry
论文作者
论文摘要
本文旨在为曲率较低的Alexandrov几何形状中的Toponogov定理提供基本证明。证据的想法来自以下事实：在黎曼几何形状中，截面曲率可以体现在第二个变化公式中。
This paper aims to give an elementary proof for Toponogov's theorem in Alexandrov geometry with lower curvature bound. The idea of the proof comes from the fact that, in Riemannian geometry, sectional curvature can be embodied in the second variation formula.
