# SOME CHARACTERIZATIONS OF CANAL SURFACES

• Kim, Young Ho (Department of Mathematics, Kyungpook National University) ;
• Liu, Huili (Department of Mathematics, Northeastern University) ;
• Qian, Jinhua (Department of Mathematics, Northeastern University)
• Published : 2016.03.31
• 101 17

#### 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

#### Acknowledgement

Supported by : National Research Foundation of Korea (NRF), NSFC

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