CURVES IN A SPACELIKE HYPERSURFACE IN MINKOWSKI SPACE-TIME

Autor(es)

Izumiya, Shyuichi ^[1] ; Nabarro, Ana Claudia ^[2] ; Sacramento, Andrea de Jesus ^[2]

Afiliação do(s) autor(es)

^[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810 - Japan

^[2] ICMC Univ Sao Paulo, Dept Matemat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: OSAKA JOURNAL OF MATHEMATICS; v. 58, n. 4, p. 947-966, OCT 2021.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 19/07316-0 - Teoria de singularidades e aplicações a geometria diferencial, equações diferenciais e visão computacional
• Beneficiário: Farid Tari
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/19139-7 - Geometria de variedades no espaço euclidiano e no espaço de Minkowski
• Beneficiário: Ana Claudia Nabarro
• Modalidade de apoio: Auxílio à Pesquisa - Regular