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http://dx.doi.org/10.7468/jksmeb.2011.18.4.369

SURFACES WITH POINTWISE 1-TYPE GAUSS MAP  

Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Publication Information
The Pure and Applied Mathematics / v.18, no.4, 2011 , pp. 369-377 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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