PROJECTIONS OF HYPERSURFACES IN ℝ4 WITH BOUNDARY TO PLANES
PROJECTIONS OF HYPERSURFACES IN ℝ4 WITH BOUNDARY TO PLANES
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ℝ4 中具有平面边界的超曲面投影
DOI：
10.1017/s001708951300013x
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发表时间：
2013
影响因子：
0.5
通讯作者：
A. C. Nabarro
中科院分区：
文献类型：
--
作者：
L. F. Martins;A. C. Nabarro
摘要本文研究了以2-空间为边界的广义嵌入超曲面的正交投影。因此，我们分类简单的地图芽从103到平面的余维小于或等于4与源包含一个独特的平面，这是保持坐标的变化。我们也进入一些细节，他们的几何性质，以识别余维数小于或等于1的情况下。
Abstract We study orthogonal projections of generic embedded hypersurfaces in ℝ4 with boundary to 2-spaces. Therefore, we classify simple map germs from ℝ3 to the plane of codimension less than or equal to 4 with the source containing a distinguished plane which is preserved by coordinate changes. We also go into some detail on their geometrical properties in order to recognize the cases of codimension less than or equal to 1.