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Special curves and raled surfaces

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83657

Title: Special curves and raled surfaces
Authors: Izumiya, S. Browse this author
Takeuchi, N. Browse this author
Keywords: cylindrical helix
Bertrand curve
ruled surfaces
singularities
Issue Date: 1-Jan-2001
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 511
Start Page: 1
End Page: 18
Abstract: We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this paper clarify that the cylindrical helix is related to the Gaussian curvature and the Bertrand curve is related to the mean curvature of the ruled surface. We also study the singularities of the principal normal surfaces of generic curves.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69261
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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