컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0187 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (GE) Geometry (GE) |
| 발표시간(Time) | 19th-A-10:40 -- 11:00 |
| 영문제목 (Title(Eng.)) |
Topology of translating solitons for the mean curvature flow |
| 저자(Author(s)) |
Eungmo Nam1, Juncheol Pyo1 Pusan National University1 |
| 초록본문(Abstract) | In this talk, we study the topology of a complete translating soliton for the mean curvature flow in Euclidean space. First, we give a basic preliminary for translating solitons. Afterwords, based on the theory of Li-Tam, we show that if a translating soliton satisfies that the $L^m$ norm of the second fundamental form is smaller than an explicit constant, then it has no non-trivial $f$-harmonic $1$-form of $L^2_f$. With the additional assumption that a translating soliton is contained in an upper half-space with respect to the translating direction then it has only one end. |
| 분류기호 (MSC number(s)) |
53C42 |
| 키워드(Keyword(s)) | Translating solitons, ends |
| 강연 형태 (Language of Session (Talk)) |
Korean |