On the flat ridges of submanifolds of codimension 2 in Rn
Published online by Cambridge University Press: 12 July 2007
Abstract
We introduce the concept of flat ridges for submanifolds of codimension 2 from the viewpoint of their contact with hyperplanes. We characterize them geometrically, studying some of their properties. In particular, we see that the highest-order flat ridges coincide with the flattenings of the asymptotic lines and from this we obtain some lower bounds for their numbers under appropriate conditions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 4 , August 2002 , pp. 975 - 984
- Copyright
- Copyright © Royal Society of Edinburgh 2002
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