Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
Gap Theorem on Locally Conformally Flat Manifold
Ming Hsiao (National Taiwan University)
Abstract
In this talk, I will present a gap theorem for locally conformally flat Riemannian manifolds with non-negative Ricci curvature. The proof involves constructing complete solutions to the Yamabe flow that exhibit instantaneous bounded curvature as they evolve. Using this, I show that if the curvature decays quickly enough in an integral sense, then the manifold must be flat. This result partially generalizes earlier work by Chen–Zhu and Ma. This is joint work with Man-Chun Lee.
Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)
