Centroaffine geometry of equiaffine rotation surfaces in R3

被引：7
|
作者：
Yang, Yun [1 ]
Yu, Yanhua [1 ]
Liu, Huili [1 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 414卷 / 01期
关键词：
Centroaffine differential geometry; Rotation surface; Minimal surface; MINIMAL-SURFACES; CURVATURE;
D O I：
10.1016/j.jmaa.2013.12.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the invariant properties for affine rotation surfaces in 3-affine space R-3 under the centroaffine transformation group. With the additional property of the vanishing centroaffine Pick invariant, a complete classification is obtained. By solving certain differential equations, we also give some classification results for centroaffine minimal rotation surfaces with the constant tensor norm of the Tchebychev vector field induced by the centroaffine metric. (C) 2013 Elsevier Inc. All rights reserved.
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页码：46 / 60
页数：15
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