Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1 release_icrekrd7pze2hjyc6m67dj5q2m

by Pierre Bayard, Federico Sánchez-Bringas

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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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Type  article
Stage   submitted
Date   2009-05-17
Version   v1
Language   en ?
arXiv  0905.2750v1
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