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Gauss Maps of Ruled Submanifolds and Applications II
- Kim, Dong-Soo;
- Kim, Young Ho;
- Jung, Sun Mi;
- Yoon, Dae Won
Citations
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4초록
The notion of pointwise 1-type Gauss map was derived from the ordinary finite type Gauss map and it gives an interesting geometric properties on surfaces of 3-dimensional Euclidean space. In particular, the helicoid and the right cone of 3-dimensional Euclidean space are characterized by pointwise 1-type Gauss map. Inspired by such a study, in this paper, we completely classify ruled submanifolds of Euclidean space with pointwise 1-type Gauss map.
키워드
Pointwise 1-type Gauss map; Ruled submanifold; Grassmannian manifold; Generalized circular cylinder; Generalized right cone; FINITE-TYPE; MINKOWSKI SPACE; B-SCROLLS; SURFACES
- 제목
- Gauss Maps of Ruled Submanifolds and Applications II
- 저자
- Kim, Dong-Soo; Kim, Young Ho; Jung, Sun Mi; Yoon, Dae Won
- 발행일
- 2016-02
- 유형
- Article
- 권
- 20
- 호
- 1
- 페이지
- 227 ~ 242
- 언어
- ENG
- 출판사
- MATHEMATICAL SOC REP CHINA
- 발행국가
- 대만
- 분량
- 16 페이지
- ISSN
- E 2224-6851
P 1027-5487