Geometric invariants and principal configurations on spacelike surfaces immersed in ℝ3,1
Published online by Cambridge University Press: 08 December 2010
Abstract
We describe the numerical invariants and the curvature ellipse attached to the second fundamental form of a spacelike surface in a four-dimensional Minkowski space. We then study the configuration of the V-principal curvature lines on a spacelike surface when the normal field V is lightlike (the lightcone configuration). We end with some observations on the mean directionally curved lines and on the asymptotic lines on spacelike surfaces.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 6 , December 2010 , pp. 1141 - 1160
- Copyright
- Copyright © Royal Society of Edinburgh 2010
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