Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space

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, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo de Revisão
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 97, p. 105-118, NOV 2015.
• Citações Web of Science: 2

Resumo

In this paper we introduce the notion of pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space. We investigate the singularities and geometric properties of these pseudo-spherical normal Darboux images. Furthermore, we investigate the relation of the de Sitter and of the hyperbolic normal Darboux images of a spacelike curve in S-1(2) with the lightlike surface along this spacelike curve. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/02794-4 - Geometria no espaço de Minkowski
• Beneficiário: Ana Claudia Nabarro
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 10/20301-7 - Curvas no espaço de Minkowski
• Beneficiário: Andrea de Jesus Sacramento
• Modalidade de apoio: Bolsas no Brasil - Doutorado