Flat Approximations of Surfaces Along Curves

We consider a developable surface tangent to a surface along a curve on the surface. We call it an osculating 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 wh...

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Bibliographic Details
Main Authors: Izumiya Shyuichi, Otani Saki
Format: Article
Language:English
Published: De Gruyter 2015-06-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-2/dema-2015-0018/dema-2015-0018.xml?format=INT