Constant angle surfaces in Minkowski space

By Rafael López, Marian Ioan Munteanu. 2009

64 citations recorded by the source corpus.

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).

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/c41ee5145bb0501eae3d8eaf21e61078eb7e973a