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GAUSS MAPS OF RULED SUBMANIFOLDS AND APPLICATIONS Iopen access
- Authors
- Jung, Sun Mi; Kim, Dong-Soo; Kim, Young Ho; Yoon, Dae Won
- Issue Date
- Nov-2016
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- pointwise 1-type Gauss map; ruled submanifold; Grassmannian manifold; generalized circular cylinder
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.6, pp 1309 - 1330
- Pages
- 22
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 53
- Number
- 6
- Start Page
- 1309
- End Page
- 1330
- ISSN
- 0304-9914
2234-3008
- Abstract
- As a generalizing certain geometric property occurred on the helicoid of 3-dimensional Euclidean space regarding the Gauss map, we study ruled submanifolds in a Euclidean space with pointwise 1-type Gauss map of the first kind. In this paper, as new examples of cylindrical ruled submanifolds in Euclidean space, we construct generalized circular cylinders and characterize such ruled submanifolds and minimal ruled submanifolds of Euclidean space with pointwise 1-type Gauss map of the first kind.
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