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

SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND

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
2012, v.19 no.3, pp.229-237
https://doi.org/10.7468/jksmeb.2012.19.3.229
Kim, Dong-Soo

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 the right circular cones are the only rational 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