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Anais da Academia Brasileira de Ciências

Print version ISSN 0001-3765On-line version ISSN 1678-2690

Abstract

LIMA, Barnabé P.; SANTOS, Newton L.; SILVA, Juscelino P.  and  SOUSA, Paulo A.A.. Translation Hypersurfaces with Constant Sr Curvature in the Euclidean Space. An. Acad. Bras. Ciênc. [online]. 2016, vol.88, n.4, pp.2039-2052.  Epub Dec 01, 2016. ISSN 0001-3765.  https://doi.org/10.1590/0001-3765201620150326.

The main goal of this paper is to present a complete description of all translation hypersurfaces with constant r-curvature S r, in the Euclidean space n + 1, where 3 r n - 1.

Keywords : Euclidean space; Scherk's surface; Translation hypersurfaces; r-Curvature.

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