Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1

Details Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1 Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1

2009-05-17

arxiv.org/abs/0905.2750v1

Mathematics

Differential Geometry

27 pages

Scientific paper

We first describe the numerical invariants attached to the second fundamental form of a spacelike surface in four-dimensional Minkowski space. We then study the configuration of the nu-principal curvature lines on a spacelike surface, when the normal field nu is lightlike (the lightcone configuration). Some observations on the mean directionally curved lines and on the asymptotic lines on spacelike surfaces end the paper.

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