Speaker
Seunghyeok Kim, Hanyang University
Abstract
The Yamabe flow is a geometric evolution equation that aims to improve the geometry of a manifold by deforming its metric toward one with constant scalar curvature. In this talk, I will first introduce the historical background of the Yamabe flow and then discuss recent developments concerning ancient solutions, namely, solutions that exist for all negative times. In the latter part of the talk, I will present joint work with Dr. Haixia Chen (Hanyang University, Central China Normal University) and Prof. Monica Musso (University of Bath) on the existence of non-rotationally symmetric ancient solutions.
Seunghyeok Kim, Hanyang University
Abstract
The Yamabe flow is a geometric evolution equation that aims to improve the geometry of a manifold by deforming its metric toward one with constant scalar curvature. In this talk, I will first introduce the historical background of the Yamabe flow and then discuss recent developments concerning ancient solutions, namely, solutions that exist for all negative times. In the latter part of the talk, I will present joint work with Dr. Haixia Chen (Hanyang University, Central China Normal University) and Prof. Monica Musso (University of Bath) on the existence of non-rotationally symmetric ancient solutions.