Constant angle surfaces in Minkowski space

Details Constant angle surfaces in Minkowski space Constant angle surfaces in Minkowski space

2009-05-05

arxiv.org/abs/0905.0670v1

Bulletin of the Belgian Math. Soc. Simon Stevin, 18 (2011) 2, 271 - 286

Mathematics

Differential Geometry

19 pages, 6 figures

Scientific paper

A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we study and classify these surfaces. In particular, we show that they are flat. Next we prove that a tangent developable surface (resp. cylinder, cone) is a constant angle surface if and only if the generating curve is a helix (resp. a straight-line, a circle).

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