한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권1호
  • /
  • Pages.43-53
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  • 2021
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  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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CHENG -YAU OPERATOR AND GAUSS MAP OF TRANSLATION SURFACES

  • Kim, Dong Seo (Department of Mathematics, Chonnam National University) ;
  • Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
  • 투고 : 2020.10.05
  • 심사 : 2021.01.05
  • 발행 : 2021.02.28
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초록

We study translation surfaces in the Euclidean 3-space ��3 and the Gauss map N with respect to the so-called Cheng-Yau operator ☐. As a result, we prove that the only translation surfaces with Gauss map N satisfying ☐N = AN for some 3 × 3 matrix A are the flat ones. We also show that the only translation surfaces with Gauss map N satisfying ☐N = AN for some nonzero 3 × 3 matrix A are the cylindrical surfaces.

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참고문헌

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