SOME CHARACTERIZATIONS OF CANAL SURFACES

descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2016 English Publisher:The Korean Mathematical SocietyJournal:Bulletin of the Korean Mathematical Society, volume 53, pages 461-477 (issn: 1015-8634,

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Authors: Young Ho Kim; Huili Liu; Jinhua Qian;

doi: 10.4134/bkms.2016.53.2.461

SOME CHARACTERIZATIONS OF CANAL SURFACES

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Abstract

This work considers a particular type of swept surface named canal surfaces in Euclidean 3-space. For such a kind of surfaces, some interesting and important relations about the Gaussian curvature, the mean curvature and the second Gaussian curvature are found. Based on these relations, some canal surfaces are characterized.

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