Zoom, Online seminar
(線上演講 Zoom)
Zoll-like Metrics and Rigidity Theorems for the Area Spectrum
Lucas Ambrozio (Instituto Nacional de Matemática Pura e Aplicada - IMPA)
Abstract: Zoll metrics are Riemannian metrics all of whose geodesics are closed, simple and have the same length. Lusternik-Schnirelmann min-max theory for closed geodesics can be used to characterise Zoll metrics on the two-dimensional sphere. We discuss analogues of this phenomenon in higher dimensions, in the context of the min-max theory for minimal two-dimensional spheres in a three-dimensional sphere.
Meeting ID: 810 3562 1228
Passcode: 120112
Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chao-Ming Lin (NTU), Wei-Bo Su (NCU) & Chung-Jun Tsai (NTU)