컨텐츠 시작
학술대회/행사
초록검색
제출번호(No.) | 0229 |
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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 |