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학술대회/행사

초록검색

제출번호(No.) 0193
분류(Section) Contributed Talk
분과(Session) (GE) Geometry (GE)
발표시간(Time) 19th-A-11:10 -- 11:30
영문제목
(Title(Eng.))
Rigidity result of graphical mean curvature flow translating solution
저자(Author(s))
Juncheol Pyo1
Pusan National University1
초록본문(Abstract) Translating solution of mean curvature flow (MCF) is a self-similar solution that moves by translation under MCF. In the first part, we will survey results regarding translating surface which is graphical and translates in the graphical axis direction (or vertically). In the non-graphical setting, we can assume the translation direction to be vertical. However for graphical setting, vertical translating direction is equivalent to mean convexity condition whereas for non-vertical translating direction, we might lose mean convexity condition. In the second part, we will talk about the rigidity results of a graphical translator moving in non-vertical direction. This is a joint work with Ma and Ooi.

분류기호
(MSC number(s))
53C24, 53C42
키워드(Keyword(s)) Translating soliton, rigidity
강연 형태
(Language of Session (Talk))
Korean