Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space
Journal of Singularities, Tome 12 (2015), pp. 207-214
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In this paper, we consider the normal hypersurfaces associated with timelike curves in Minkowski 4-space which are confined in de Sitter 3-space. We classify the generic singularities of the normal hypersurfaces, which are cuspidal edges, swallowtails and butterflies. And reveal the relationships between these singularities and the Lorentzian invariants of timelike curves by applying the singularity theory.
@article{10_5427_jsing_2015_12o,
author = {Yongqiao Wang and Donghe Pei},
title = {Singularities for normal hypersurfaces of de {Sitter} timelike curves in {Minkowski} 4-space},
journal = {Journal of Singularities},
pages = {207--214},
publisher = {mathdoc},
volume = {12},
year = {2015},
doi = {10.5427/jsing.2015.12o},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12o/}
}
TY - JOUR AU - Yongqiao Wang AU - Donghe Pei TI - Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space JO - Journal of Singularities PY - 2015 SP - 207 EP - 214 VL - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12o/ DO - 10.5427/jsing.2015.12o ID - 10_5427_jsing_2015_12o ER -
%0 Journal Article %A Yongqiao Wang %A Donghe Pei %T Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space %J Journal of Singularities %D 2015 %P 207-214 %V 12 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12o/ %R 10.5427/jsing.2015.12o %F 10_5427_jsing_2015_12o
Yongqiao Wang; Donghe Pei. Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space. Journal of Singularities, Tome 12 (2015), pp. 207-214. doi: 10.5427/jsing.2015.12o
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