Journal of Singularities
volume 12 (2015), 207-214
Received 16 June 2015. Received in revised form 7 January 2015.
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.
timelike curves, de Sitter 3-space, normal hypersurfaces, Lorentzian invariants
Mathematical Subject Classification:
53A35, 58C27, 58C28
|Yongqiao Wang||Donghe Pei|
|School of Mathematics and Statistics||School of Mathematics and Statistics|
|Northeast Normal University||Northeast Normal University|
|Changchun, 130024, P.R.China||Changchun, 130024, P.R.China|
|email: firstname.lastname@example.org||email: email@example.com|