Singularities of tangent lightcone map of a timelike surface in Minkowski 4-space
Lingling Kong and Donghe Pei
Source: Tohoku Math. J. (2) Volume 61, Number 4
(2009), 455-473.
Abstract
In the paper, we will define tangent lightcone map, tangentlightcone curvature and tangent lightcone height function. Then we study the geometry of the timelike surfaces in Minkowski 4-space through their contact with spacelike hyperplane and give the classification of singularities of tangent lightcone map based on the Legendrian singularity theory of Arnol'd.
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1264084494
Digital Object Identifier: doi:10.2748/tmj/1264084494
Zentralblatt MATH identifier: 05687938
Mathematical Reviews number (MathSciNet): MR2598244
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