Caustic of a three-dimensional ellipsoid surface

被引：0
|
作者：
Joets, A [1 ]
Ribotta, R [1 ]
机构：
[1] Univ Paris 11, Phys Solides Lab, F-91405 Orsay, France
来源：
EXPERIMENTAL MATHEMATICS | 1999年 / 8卷 / 01期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 3D ellipsoid is used as a model for a system generating a global configuration of interconnected singularities in R-4. The caustic obtained as the envelope of the normals to the ellipsoid is analyzed and calculated. In particular, we show that it has four closed curves bf hyperbolic umbilics. Our results suggest some properties of the caustic of the ellipsoid in R-n.
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收藏
页码：49 / 55
页数：7
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