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generic geometry

Proceedings of the Edinburgh Mathematical Society (1)

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DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES
A. C. Nabarro
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Proceedings of the Edinburgh Mathematical Society / Volume 46 / Issue 3 / October 2003

Published online by Cambridge University Press:

10 December 2003, pp. 637-648
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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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DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES

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DUALITY AND CONTACT OF HYPERSURFACES IN $\mathbb{R}^4$ WITH HYPERPLANES AND LINES