Abstract
In this paper, we study general rotational surfaces in E 4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E 4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E 4 with proper pointwise 1-type Gauss map of the second kind.
| Original language | English |
|---|---|
| Pages (from-to) | 71-81 |
| Number of pages | 11 |
| Journal | Mathematical Communications |
| Volume | 17 |
| Issue number | 1 |
| Publication status | Published - 2012 |
Keywords
- Gauss map
- Mean curvature
- Minimal surface
- Normal bundle
- Point- wise 1-type
- Rotational surfaces