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Affine Translation Surfaces with Constant Gaussian Curvature
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  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 2,  2010, pp.337-343
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.2.337
 Title & Authors
Affine Translation Surfaces with Constant Gaussian Curvature
Fu, Yu; Hou, Zhong-Hua;
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 Abstract
We study affine translation surfaces in and get a complete classification of such surfaces with constant Gauss-Kronecker curvature.
 Keywords
Translation surface;Affine Gauss-Kronecker curvature;
 Language
English
 Cited by
1.
On affine translation surfaces in affine space, Journal of Mathematical Analysis and Applications, 2016, 440, 2, 437  crossref(new windwow)
 References
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F. Manhart, Die affineminimalruckungfachen, Arch. Math., 44(1985), 547-556. crossref(new window)

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K. Nomizu and T. Sasaki, Affine differential geometry: geometry of affine immersions, Cambridge University Press, 1994.

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H. Sun, On affine translation surfaces of constant mean curvature, Kumamoto J. Math., 13(2000), 49-57.

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H. Sun and C. Chen, On affine translation hypersurfaces of constant mean curvature, Publ. Math. Debrecen, 64(2004), 3-4, 381-390.