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DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES
Published online by Cambridge University Press: 10 December 2003
Abstract
Given an embedded hypersurface $M$ in $\mathbb{R}^4$ we consider families of projections $H$ of $M$ to lines and families of projections $P$ of $M$ to 3-spaces. We characterize generically the singularities of these projections. We also show that there is a duality relation between some strata of the bifurcation sets of $H$ and $P$, and deduce geometric properties about these sets.
AMS 2000 Mathematics subject classification: Primary 58K05. Secondary 58K40
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 3 , October 2003 , pp. 637 - 648
- Copyright
- Copyright © Edinburgh Mathematical Society 2003
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