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Bonnet Ruled Surfaces
引用本文:Filiz KANBAY. Bonnet Ruled Surfaces[J]. 数学学报(英文版), 2005, 21(3): 623-630. DOI: 10.1007/s10114-004-0450-z
作者姓名:Filiz KANBAY
作者单位:Department of Mathematics, Faculty of Arts and Science,Yidiz Technical University, 34210 Esenler/istanbul, Turkey
基金项目:Acknowledgments I would like to thank Prof. Fiisun Uras and Prof. Ziya Soyucok for their invaluable support and suggestions.
摘    要:


关 键 词:Bonnet表面 连接表面 曲率 网络结构
收稿时间:2002-11-27
修稿时间:2002-11-272003-04-22

Bonnet Ruled Surfaces
Filiz Kanbay. Bonnet Ruled Surfaces[J]. Acta Mathematica Sinica(English Series), 2005, 21(3): 623-630. DOI: 10.1007/s10114-004-0450-z
Authors:Filiz Kanbay
Affiliation:(1) Department of Mathematics, Faculty of Arts and Science, Yıldız Technical University, 34210 Esenler/İstanbul, Turkey
Abstract:
We consider the Bonnet ruled surfaces which admit only one non-trivial isometry that preserves the principal curvatures. We determine the Bonnet ruled surfaces whose generators and orthogonal trajectories form a special net called an A-net.
Keywords:Bonnet surface   Associate surface   Isometry   Ruled surface   A-net   Principal curvature
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