Abstract

In this talk, we show that the length of a shortest closed geodesic on a Riemannian manifold of dimension 4 with diameter D, volume v, and |Ric|<3 can be bounded by a function of v and D. In particular, this function can be explicitly computed if the manifold is Einstein. The proof of this result depends on a structural theorem proven by J. Cheeger and A. Naber. This is joint work with N. Wu.

Speaker

I am currently a postdoctoral fellow at Yau Mathematical Sciences Center. I am specializing in the field of Quantitative Geometry, which is a branch of Geometry that, in particular, studies the geometric inequalities and effective versions of topological existence theorems. I obtained my Ph.D. in 2019 from University of Toronto under the supervision of Prof. Regina Rotman.

个人主页：

https://zhifeizhu92.github.io/