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학술대회/행사

초록검색

제출번호(No.) 0466
분류(Section) Contributed Talk
분과(Session) Geometry (SS-06)
영문제목
(Title(Eng.))
A characterization of the helicoid in a cylinder
저자(Author(s))
Eunjoo Lee1
Seoul National University1
초록본문(Abstract) In this talk, we show that the compact helicoid $H_C$ in a solid cylinder $C \subset \mathbb{R}^3$ is the area-minimizer within a geometrically natural class of surfaces. We use the classical maximum principles for minimal surfaces to show some uniqueness results of $H_C$ as well.
분류기호
(MSC number(s))
53A05, 53A10
키워드(Keyword(s)) helicoid, minimal surface, area minimizer, coarea formula, maximum principle
강연 형태
(Language of Session (Talk))
English