Geometric Analysis——Odd dimensional Besse orbifolds are manifolds
主 题: Geometric Analysis——Odd dimensional Besse orbifolds are manifolds
报告人: Marco Radeschi (University of Notre Dame)
时 间: 2018-05-18 10:10-11:10
地 点: Room 1114, Sciences Building No. 1
Abstract: Riemannian orbifolds enjoy most properties of Riemannian manifolds, and in particular the existence of geodesics. When all geodesics can be extended indefinitely and are all periodic, we say that the orbifold is a Besse orbifold. The goal of this talk is to show that, if a Besse orbifold has odd dimension, it must be a manifold, and in fact a sphere. This is a joint work in progress with Manuel Amann and Christian Lange.