期刊
AIMS MATHEMATICS
卷 5, 期 6, 页码 6341-6354出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020408
关键词
Minkowski space; constant angle surface; spacelike cone; timelike cone
资金
- National Natural Science Foundation of China [11401077, 11671068, 11271060]
- Fundamental Funds for the Central Universities [DUT20LK13]
A spacelike constant angle surface in E-1(3) (Minkowski 3-space) is defined by its unit normal vector field forms a constant angle with some fixed vector direction. In this paper, we use the Frenet frame to express the surface and construct a family of spacelike constant angle surfaces which possess the given curve as isoparametric curve. The normal vector of each surface forms a constant angle with a fixed vector lying in the spacelike cone and in the timelike cone respectively. Finally, we give some representative examples.
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