Talk page
Title:
Geometry of 2-dimensional Riemannian disks and spheres.
Speaker:
Abstract:
I will discuss some geometric inequalities that hold on
Riemannian 2-disks and 2-spheres.
For example, I will prove that on any Riemannian 2-sphere there M exist
at least three simple periodic geodesics of length at most 20d, where d is the diameter of M, (joint with A. Nabutovsky, Y. Liokumovich).
This is a quantitative version of the well-known Lyusternik and Shnirelman theorem.
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