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Normal developable surfaces of surfaces along curves
Title: | Normal developable surfaces of surfaces along curves |
Authors: | Hananoi, Satoshi Browse this author | Izumiya, Shyuichi Browse this author →KAKEN DB |
Keywords: | normal developable surfaces | curves on surfaces | Darboux frames |
Issue Date: | Feb-2017 |
Publisher: | Cambridge University Press |
Journal Title: | Proceedings of the royal society of edinburgh section a-mathematics |
Volume: | 147 |
Issue: | 1 |
Start Page: | 177 |
End Page: | 203 |
Publisher DOI: | 10.1017/S030821051600007X |
Abstract: | We consider a developable surface normal to a surface along a curve on the surface. We call it a normal developable surface along the curve on the surface. We investigate the uniqueness and the singularities of such developable surfaces. We discover two new invariants of curves on a surface that characterize these singularities. |
Rights: | This article has been published in a revised form in Proceedings of the royal society of edinburgh section a-mathematics http://dx.doi.org/10.1017/S030821051600007X. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/66937 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 泉屋 周一
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