SINGULARITIES OF LIGHTLIKE HYPERSURFACES IN MINKOWSKIFOUR-SPACE

SHYUICHI IZUMIYA; MAREK KOSSOWSKI; DONGHE PEI; M. CARMEN ROMERO FUSTER

doi:10.2748/tmj/1145390206

Tohoku Mathematical Journal, Second Series

Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735

SINGULARITIES OF LIGHTLIKE HYPERSURFACES IN MINKOWSKIFOUR-SPACE

SHYUICHI IZUMIYA, MAREK KOSSOWSKI, DONGHE PEI, M. CARMEN ROMERO FUSTER

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Keywords: Lightlike hypersurface, spacelike surface, lightcone, Lorentzian distance-squared function

JOURNAL FREE ACCESS

2006 Volume 58 Issue 1 Pages 71-88

DOI https://doi.org/10.2748/tmj/1145390206

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Abstract

We classify singularities of lightlike hypersurfaces in Minkowski 4-space via the contact invariants for the corresponding spacelike surfaces and lightcones.

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