Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps

Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps

In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed, which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the surfaces of revolution and the canal surfaces in the Euclidean three-space are classified. First of all, we show that the G...

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Bibliographic Details
Main Authors: Jinhua Qian, Xueshan Fu, Xueqian Tian, Young Ho Kim
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
surface of revolution
canal surface
Cheng–Yau operator
Gauss map
Online Access:https://www.mdpi.com/2227-7390/8/10/1728

Internet

https://www.mdpi.com/2227-7390/8/10/1728

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