Some Global Rigidity Theorems in Finsler Geometry
主 题: Some Global Rigidity Theorems in Finsler Geometry
报告人: 沈忠民 教授 (美国 IUPUI 大学数学系)
时 间: 2006-12-29 下午 2:30 - 3:30
地 点: 理科一号楼 1114（数学所活动）
Recent studies in Finsler geometry show that Finsler metrics on a closed
manifold have some rigidity properties when certain curvature conditions
are satisfied. For example, there are many non-trivial Finsler metrics
of negative constant flag curvature, some are incomplete, some are
(positively) complete, some are reversible and some are irreversible.
But Finsler metrics of negative constant flag curvature on a closed
manifold must be Riemannian. This is due to Akbar-Zadeh. In this
lecture, I will discuss several global rigidity theorems.
