Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Zhifei Zhu ,Tsinghua University | Inviter: | | Title: | Geometic inequalities I | Time & Venue: | 2021.12.07 14:40-15:20 S415 室 | Abstract: | We will talk about examples of Riemannian metrics on the 3-disk demonstrating that the maximal area of 2-spheres arising during an "optimal" homotopy contracting its boundary cannot be majorized in terms of the volume and diameter of the 3-disc and the area of its boundary. This contrasts with earlier 2-dimensional results of Y. Liokomovich, A. Nabutovsky and R. Rotman and answers a question of P. Papasoglu. | | | |