SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP

Title & Authors
SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
CHEN BANG-YEN; CHOI MIEKYUNG; KIM YOUNG HO;

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;
Language
English
Cited by
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