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arxiv: 0905.0670 · v1 · pith:KNRV7WIUnew · submitted 2009-05-05 · 🧮 math.DG

Constant angle surfaces in Minkowski space

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keywords angleconstantsurfaceminkowskirespspacesurfacesvector
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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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