Affine Translation Surfaces with Constant Gaussian Curva-
ture

Kyungpook Mathematical Journal 2010; 50(2): 337-343

Published online June 23, 2010

Yu Fu, Zhong-Hua Hou

School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China

Received: June 23, 2010; Revised: June 23, 2010; Accepted: June 23, 2010

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We study affine translation surfaces in $mathbb{R}^3$ and get
a complete classification of such surfaces with constant Gauss-Kronecker curvature.

Keywords: Translation surface, A?ne Gauss-Kronecker curvature