Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space

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• 作者：Dan Yang ; Yu Fu ; Lan Li
• 关键词：Generalized constant ratio (GCR) surface ; constant slope surface ; constant ratio surface
• 刊名：Frontiers of Mathematics in China
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：12
• 期：2
• 页码：459-480
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Higher Education Press
• ISSN：1673-3576
• 卷排序：12

文摘

Generalized constant ratio surfaces are defined by the property that the tangential component of the position vector is a principal direction on the surfaces. In this work, we study these class of surfaces in the 3-dimensional Minkowski space L3. We achieve a complete classification of spacelike generalized constant ratio surfaces in L3.