DUALITY AND CONTACT OF HYPERSURFACES IN $mathbb{R}^4$ WITH HYPERPLANES AND LINES
[摘要] 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
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] singularities;generic geometry;duality [时效性]
