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On the Classification of the Bonnet Surfaces
引用本文:Chia-kuei Peng Shan-nian Lu (Graduate School,Academia Sinica,Beijing 100039,PRC). On the Classification of the Bonnet Surfaces[J]. 中国科学院研究生院学报, 1992, 0(2)
作者姓名:Chia-kuei Peng Shan-nian Lu (Graduate School  Academia Sinica  Beijing 100039  PRC)
作者单位:Graduate School,Academia Sinica,Beijing 100039,PRC
基金项目:Project supported by the National Natural science Foundation of china
摘    要:In this paper,we will prove that the Bonnet surfaces can beclassified into three different types and the first or second types areequivalent to helicoidal surfaces(including surfaces of revolution andcylinders)under Bonnet deformations.


On the Classification of the Bonnet Surfaces
Chia-kuei Peng Shan-nian Lu. On the Classification of the Bonnet Surfaces[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 1992, 0(2)
Authors:Chia-kuei Peng Shan-nian Lu
Abstract:In this paper,we will prove that the Bonnet surfaces can be classified into three different types and the first or second types are equivalent to helicoidal surfaces(including surfaces of revolution and cylinders)under Bonnet deformations.
Keywords:Bonnet surface  isometric deformation  helicoidal surface
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