Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

Seminars

Seminar
FIELD Math:Analysis
DATE January 25 (Mon), 2021
TIME 14:00-16:00
PLACE Online
SPEAKER Kim, Seunghyeok
HOST Jeong, In-Jee
INSTITUTE 한양대학교
TITLE Infinite-time blowing-up solutions to small perturbations of the Yamabe flow
ABSTRACT Under the validity of the positive mass theorem, the Yamabe flow on a smooth compact Riemannian manifold $M$ of dimension $N ≥ 3$ is known to exist for all time $t$ and converges to a metric of constant scalar curvature as $t \to \infty$. We show that if a suitable perturbation, which can be made arbitrarily small and smooth, is imposed on the linear term of the Yamabe flow on $M$, the resulting flow blow-ups at the infinite time, forming singularities each of which looks like a solution of the Yamabe problem on the unit sphere $\mathbb{S}^N$. This is joint work with Monica Musso (University of Bath, UK)
FILE  
  • list

date

~