컨텐츠 시작

학술대회/행사

초록검색

제출번호(No.) 0229
분류(Section) Contributed Talk
분과(Session) (GE) Geometry (GE)
발표시간(Time) 19th-A-10:20 -- 10:40
영문제목
(Title(Eng.))
Compactness theorem for $\lambda$-translating solitons and its applications
저자(Author(s))
Jihyeon Lee1, Eungmo Nam1, Juncheol Pyo1
Pusan National University1
초록본문(Abstract) In this talk, we discuss the compactness theorem for $\lambda$-translating solitons in Euclidean space with uniform $\lambda$, and area and genus bounds. This is a generalization of Choi and Schoen's compactness result for embedded minimal surfaces in a manifold with positive Ricci curvature. As an application of the compactness theorem, we give rigidity results for graphical $\lambda$-translating solitons. This talk is based on the joint work with Eungmo Nam and Juncheol Pyo.
분류기호
(MSC number(s))
53A05, 53C21, 53C24
키워드(Keyword(s)) Compactness theorem, $\lambda$-translating soliton
강연 형태
(Language of Session (Talk))
Korean