Caustics of convex curves

被引：4
|
作者：
Gounai, Hiro [1 ]
Umehara, Masaaki [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2014年 / 23卷 / 10期
基金：
日本学术振兴会;
关键词：
Caustic; evolute; convex curve; vertex; the four vertex theorem;
D O I：
10.1142/S0218216514500503
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well-known that the focal set (i.e. the image of the caustic) of a given convex closed curve gamma admits singular points. In this paper, we classify the diffeomorphic type of focal sets of convex curves which admit at most four cusps.
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页数：28
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