Title: Curves in a spacelike hypersurface in the Minkowski space-time
Abstract: In mathematical physics, Minkowski space (or Minkowski space-time) is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold. The hyperbolic surface and de Sitter surface of a curve are defined in the spacelike hypersurface $M$ in Minkowski $4$-space and located, respectively, in hyperbolic 3-space and de Sitter 3-space. In this study, techniques from singularity theory were applied to obtain the generic shape of such surfaces and their singular value sets and the geometrical meanings of these singularities were investigated.
Publication Year: 2019
Publication Date: 2019-07-03
Language: en
Type: article
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