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- Title
Constant angle surfaces in Minkowski space.
- Authors
López, Rafael; Munteanu, Marian Ioan
- Abstract
A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector fieldmakes a constant hyperbolic angle with a fixed time-like 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).
- Subjects
GENERALIZED spaces; HYPERBOLIC geometry; HELICES (Algebraic topology); VECTOR algebra; LINE geometry; CYLINDER (Shapes); CONES
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011, Vol 18, Issue 2, p271
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1307452077