Event
01_1
| 제출번호(No.) | 0107 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Geometry (GE) |
| 영문제목 (Title(Eng.)) |
Hypersurfaces of pseudo-Euclidean spaces satisfying chord properties |
| 저자(Author(s)) |
Dong-Soo Kim1 Chonnam National University1 |
| 초록본문(Abstract) | We study hypersurfaces in pseudo-Euclidean space $\mathbb{R}^{n+1}_t$ of arbitrary dimension satisfying the so called chord properties, that is, the Gauss map $G$ on the hypersurface satisfies $\<y -x, G(x)+G(y)\>=0$ identically. First, we show that the Gauss map $G$ satisfies $G(x)=Ax+b$, where $A$ is a self adjoint endomorphism of $\mathbb{R}^{n+1}_t$ and $b$ is a constant vector in $\mathbb{R}^{n+1}_t$. Finally, we give a complete classification theorem for hypersurfaces in pseudo-Euclidean space $\mathbb{R}^{n+1}_t$ satisfying chord properties. |
| 분류기호 (MSC number(s)) |
53C40 |
| 키워드(Keyword(s)) | pseudo-Euclidean space, hypersurface, Gauss map, chord property, isoparametric hypersurface |
| 강연 형태 (Language of Session (Talk)) |
Korean |