Translation Hypersurfaces with Constant Sr Curvature in the Euclidean Space

Translation Hypersurfaces with Constant Sr Curvature in the Euclidean Space

Abstract 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 <mml:math alttext="\mathbb{R}{n+1}" id="p3.m3"> ℝ n + 1, where 3 ≤ r ≤ n - 1.

Bibliographic Details
Main Authors: Barnabé P. Lima, Newton L. Santos, Juscelino P. Silva, Paulo A.A. Sousa
Format: Article
Language:English
Published: Academia Brasileira de Ciências
Series:Anais da Academia Brasileira de Ciências
Subjects:
Euclidean space
Scherk's surface
Translation hypersurfaces
r-Curvature
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016005020101&lng=en&tlng=en
Description
Summary:Abstract 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 <mml:math alttext="\mathbb{R}{n+1}" id="p3.m3"> ℝ n + 1, where 3 ≤ r ≤ n - 1.
ISSN:1678-2690

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