Abstract
In this work, we study space-like surfaces in the Minkowski space E{double-struck} 4 1 with pointwise 1-type Gauss map. We prove that a maximal surface in E{double-struck} 4 1 has pointwise 1-type Gauss map of the second kind if and only if it is an open part of a space-like plane. We also give a classification of surfaces in E{double-struck} 4 1 with flat normal bundle, non-zero constant curvature and pointwise 1-type Gauss map of the second kind.
| Original language | English |
|---|---|
| Pages (from-to) | 34-45 |
| Number of pages | 12 |
| Journal | Balkan Journal of Geometry and its Applications |
| Volume | 17 |
| Issue number | 2 |
| Publication status | Published - 2012 |
Keywords
- Finite type mapping
- Helical cylinder
- Maximal surface
- Pointwise 1-type Gauss map