Abstract
A surface model called the fibre bundle model is proposed. This model represents a surface locally as a direct product of two curves: a base curve and a fibre curve. We introduce the fibre bundle model and then obtain the Gaussian curvatures and the mean curvatures of a certain kind of fibre bundle surface models using 1-parameter groups of a linear Lie algebra as fibres. Some examples are given to verify our results.
| Original language | English |
|---|---|
| Pages (from-to) | 451-454 |
| Number of pages | 4 |
| Journal | Journal of Beijing Institute of Technology (English Edition) |
| Volume | 17 |
| Issue number | 4 |
| Publication status | Published - 2008 Dec 1 |
| Externally published | Yes |
Keywords
- Fibre bundle surface
- Gaussian curvature
- Linear Lie algebra
- Mean curvature
ASJC Scopus subject areas
- Engineering(all)