SECOND ORDER GEOMETRY OF SPACELIKE SURFACES IN DE SITTER 5-SPACE

Autor(es)

Kasedou, Masaki ^[1] ; Nabarro, Ana Claudia ^[2] ; Soares Ruas, Maria Aparecida ^[2]

Afiliação do(s) autor(es)

^[1] Akita Coll, Natl Inst Technol, Inst Nat Sci, Iijimabunkyocho 1-1, Akita, Akita 0118511 - Japan

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

• Tipo de documento: Artigo Científico
• Fonte: PUBLICACIONS MATEMATIQUES; v. 59, n. 2, p. 449-477, 2015.
• Citações Web of Science: 0

Resumo

The de Sitter space is known as a Lorentz space with positive constant curvature in the Minkowski space. A surface with a Riemannian metric is called a spacelike surface. In this work we investigate properties of the second order geometry of spacelike surfaces in de Sitter space S-1(5) by using the action of GL(2, R)x SO(1, 2) on the system of conics defined by the second fundamental form. The main results are the classification of the second fundamental mapping and the description of the possible configurations of the LMN-ellipse. This ellipse gives information on the lightlike binormal directions and consequently about their associated asymptotic directions. (AU)

• Processo FAPESP: 13/02794-4 - Geometria no espaço de Minkowski
• Beneficiário: Ana Claudia Nabarro
• Modalidade de apoio: Auxílio à Pesquisa - Regular