Kyungpook Mathematical Journal

  • 제50권2호
  • /
  • Pages.337-343
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  • 2010
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Affine Translation Surfaces with Constant Gaussian Curvature

  • Fu, Yu (School of Mathematical Sciences, Dalian University of Technology) ;
  • Hou, Zhong-Hua (School of Mathematical Sciences, Dalian University of Technology)
  • 투고 : 2010.01.25
  • 심사 : 2010.03.04
  • 발행 : 2010.06.30
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초록

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

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참고문헌

  1. T. Binder, Projectively fiat affine surfaces, J. Geom., 79(2004), 31-45. https://doi.org/10.1007/s00022-003-1674-2
  2. W. Blaschke, Vorlesungen Uber Differentialgeometrie II, Berlin, 1923.
  3. F. Manhart, Die affineminimalruckungfachen, Arch. Math., 44(1985), 547-556. https://doi.org/10.1007/BF01193996
  4. K. Nomizu and T. Sasaki, Affine differential geometry: geometry of affine immersions, Cambridge University Press, 1994.
  5. H. Sun, On affine translation surfaces of constant mean curvature, Kumamoto J. Math., 13(2000), 49-57.
  6. H. Sun and C. Chen, On affine translation hypersurfaces of constant mean curvature, Publ. Math. Debrecen, 64(2004), 3-4, 381-390.

피인용 문헌

  1. On affine translation surfaces in affine space vol.440, pp.2, 2016, https://doi.org/10.1016/j.jmaa.2016.03.066
  2. Polynomial affine translation surfaces in Euclidean 3-space vol.37, pp.3, 2019, https://doi.org/10.5269/bspm.v37i3.32978