Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space

Jinhua Qian, Xueqian Tian, Xueshan Fu and Young Ho Kim
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueqian Tian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueshan Fu: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Young Ho Kim: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2020, vol. 8, issue 9, 1-14

Abstract: In this work, we study the canal surfaces foliated by pseudo spheres S 1 2 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely. For example, the canal surface with proper pointwise 1-type Gauss map of the first kind if and only if it is a part of a minimal surface of revolution.

Keywords: canal surface; pseudo sphere; Laplace operator; Gauss map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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