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.
Young Ho Kim Huili Liu, and Jinhua Qian
Kyungpook National University, Northeastern University, Northeastern University
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
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