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31 p, 502.7 KB Second order geometry of spacelike surfaces in de Sitter 5-space / Kasedou, Masaki (National Institute of Technology (Akita, Japó). Institute of Natural Science) ; Nabarro, Ana Claudia (Universidade de Sao Paulo. Instituto de Ciências Matemáticas e de Computaçao) ; Soares Ruas, Maria Aparecida (Universidade de Sao Paulo. Instituto de Ciências Matemáticas e de Computaçao)
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 S5 1 by using the action of GL(2,R) X SO(1,2) on the system of conics defined by the second fundamental form. [...]
2015 - 10.5565/PUBLMAT_59215_07
Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 449-477 (Articles)  

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