Duality and contact of hypersurfaces in R4 with hyperplanes and lines

被引：5

作者：

Nabarro, AC ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2003年 / 46卷

关键词：

singularities; generic geometry; duality;

D O I：

10.1017/S0013091502000883

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an embedded hypersurface M in 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.

引用

页码：637 / 648

页数：12

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