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normal developable surfaces

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Normal developable surfaces of surfaces along curves
Part of
- Differential topology
Satoshi Hananoi, Shyuichi Izumiya
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 147 / Issue 1 / February 2017

Published online by Cambridge University Press:

06 January 2017, pp. 177-203

Print publication:

February 2017
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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.