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http://dx.doi.org/10.4134/JKMS.2015.52.6.1337

SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE  

KIM, DONG-SOO (DEPARTMENT OF MATHEMATICS CHONNAM NATIONAL UNIVERSITY)
KIM, YOUNG HO (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1337-1346 More about this Journal
Abstract
We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean curvature and right circular cones with respect to some properties of the shape operator are characterized when their Gauss map is of pointwise 1-type.
Keywords
shape operator; Gauss map; finite type; pointwise 1-type;
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Times Cited By KSCI : 3  (Citation Analysis)
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