한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권4호
  • /
  • Pages.369-377
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  • 2011
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

  • Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
  • 투고 : 2011.09.26
  • 심사 : 2011.10.20
  • 발행 : 2011.11.30
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초록

In this article, we study generalized slant cylindrical surfaces (GSCS's) with pointwise 1-type Gauss map of the first and second kinds. Our main results state that GSCS's with pointwise 1-type Gauss map of the first kind coincide with surfaces of revolution with constant mean curvature; and the right cones are the only polynomial kind GSCS's with pointwise 1-type Gauss map of the second kind.

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참고문헌

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  7. U. Dursun: Flat surfaces in the Euclidean space $E^3$ with pointwise 1-type Gauss map. Bull. Malays. Math. Sci. Soc.(2) 33 (2010), no. 3, 469-478.
  8. D.-S. Kim & Y.H. Kim: Surfaces with planar lines of curvature. Honam Math. J. 32 (2010), 777-790. https://doi.org/10.5831/HMJ.2010.32.4.777
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  10. J. Oprea: Differential geometry and its applications. Prentice Hall, New Jersey, 1997.

피인용 문헌

  1. ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES vol.20, pp.3, 2011, https://doi.org/10.7468/jksmeb.2013.20.3.149