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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.18 No.4

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SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.369-377
https://doi.org/10.7468/jksmeb.2011.18.4.369
Kim, Dong-Soo
Kim,, D. (2011). SURFACES WITH POINTWISE 1-TYPE GAUSS MAP. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 369-377, https://doi.org/10.7468/jksmeb.2011.18.4.369

Abstract

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.

keywords
cylindrical surfaces, slant cylindrical surfaces, generalized slant cylindrical surfaces, pointwise 1-type Gauss map

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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