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Gauss Maps of Ruled Submanifolds and Applications IIopen access
- Authors
- Kim, Dong-Soo; Kim, Young Ho; Jung, Sun Mi; Yoon, Dae Won
- Issue Date
- Feb-2016
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- Pointwise 1-type Gauss map; Ruled submanifold; Grassmannian manifold; Generalized circular cylinder; Generalized right cone
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.20, no.1, pp 227 - 242
- Pages
- 16
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 20
- Number
- 1
- Start Page
- 227
- End Page
- 242
- ISSN
- 1027-5487
2224-6851
- Abstract
- 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.
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