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http://dx.doi.org/10.4134/JKMS.2005.42.3.447

SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP  

CHEN BANG-YEN (Department of Mathematics Michigan State University)
CHOI MIEKYUNG (Department of Mathematics Kyungpook National University)
KIM YOUNG HO (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 447-455 More about this Journal
Abstract
In this article, we introduce the notion of pointwise 1-type Gauss map of the first and second kinds and study surfaces of revolution with such Gauss map. Our main results state that surfaces of revolution 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 rational surfaces of revolution with pointwise 1-type Gauss map of the second kind.
Keywords
surfaces of revolution; circular cylinder; right cone; point-wise 1-type Gauss map;
Citations & Related Records

Times Cited By Web Of Science : 15  (Related Records In Web of Science)
Times Cited By SCOPUS : 13
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