Browsing by Subject "Newton transformation"

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    L1-2-Type Surfaces in 3-Dimensional De Sitter and Anti De Sitter Spaces
    (Springer, 2023-06-01) García Martínez, S. Carolina; Lucas Saorín, Pascual; Ramírez Ospina, H. Fabián; Matemáticas
    Let be an orientable surface immersed in the De Sitter space or anti de Sitter space . In the case that is of -2-type we prove that the following conditions are equivalent to each other: has a constant principal curvature; has constant mean curvature; has constant second mean curvature. As a consequence, we also show that an -2-type surface is either an open portion of a standard pseudo-Riemannian product, or a B-scroll over a null curve, or else its mean curvature, its Gaussian curvature and its principal curvatures are all non-constant.
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    Surfaces in S3 of L1-2-type
    (Springer, 2018) Lucas Saorín, Pascual; Ramírez-Ospina, Héctor Fabián; Matemáticas
    In this paper we show that an L_1-2-type surface M in S^3 is either an open portion of a standard Riemannian product S^1(a) x S^1(b), of any radii, or it has non constant mean curvature H, non constant Gaussian curvature K, and non constant principal curvatures k1 and k2.