컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0320 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Differential Geometry (GT-2) |
| 영문제목 (Title(Eng.)) |
Plateau's problem for $C^{1,\alpha}$ tangentially immersed boundaries |
| 저자(Author(s)) |
Leobardo Rosales1 Keimyung University1 |
| 초록본문(Abstract) | The classic Plateau's problem asks if given a smooth simple closed curve in space, does there exist a smooth orientable (embedded) surface-with-boundary spanning that curve, and having least area among all surfaces-with-boundary spanning the given curve? While the answer is in the affirmative, to solve Plateau's problem requires developing the theory of currents; these are generalized orientable surfaces-with-boundary. In this talk we study Plateau's problem for $C^{1,\alpha}$ tangentially immersed boundaries. |
| 분류기호 (MSC number(s)) |
28A75, 49Q05, 49Q15 |
| 키워드(Keyword(s)) | Plateau, currents, area-minimizing |
| 강연 형태 (Language of Session (Talk)) |
English |