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September 2013 Translation hypersurfaces with constant curvature in space forms
Keomkyo Seo
Osaka J. Math. 50(3): 631-641 (September 2013).

Abstract

We give a classification of the translation hypersurfaces with constant mean curvature or constant Gauss--Kronecker curvature in Euclidean space or Lorentz--Minkowski space. We also characterize the minimal translation hypersurfaces in the upper half-space model of hyperbolic space.

Citation

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Keomkyo Seo. "Translation hypersurfaces with constant curvature in space forms." Osaka J. Math. 50 (3) 631 - 641, September 2013.

Information

Published: September 2013
First available in Project Euclid: 27 September 2013

zbMATH: 1278.53064
MathSciNet: MR3128996

Subjects:
Primary: 43A10 , 53C42

Rights: Copyright © 2013 Osaka University and Osaka City University, Departments of Mathematics

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Vol.50 • No. 3 • September 2013
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