Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(2): 461-477

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.461

Copyright © The Korean Mathematical Society.

Some characterizations of canal surfaces

Young Ho Kim Huili Liu, and Jinhua Qian

Kyungpook National University, Northeastern University, Northeastern University

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.

Keywords: canal surface, Gaussian curvature, mean curvature, second Gaussian curvature, Weingarten surface, linear Weingarten surface

MSC numbers: 53A05, 53B25