Real algebraic curves of constant width

被引：0
|
作者：
Chatchawan Panraksa
Lawrence C. Washington
机构：
[1] Mahidol University International College,Applied Mathematics Program, Science Division
[2] University of Maryland,Department of Mathematics
来源：
Periodica Mathematica Hungarica | 2017年 / 74卷
关键词：
Constant width; Algebraic curves; Isolated points; Convex curves; 52A10 (primary); 53A04; 14H50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Rabinowitz constructed a parametric curve of constant width and expressed it as a plane algebraic curve; however, the algebraic curve also contains isolated points separate from the original curve. We show how to modify his example in order to produce a curve with no isolated points. We then conjecture a method for producing a family of such curves and prove the conjecture in several cases.
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页码：235 / 244
页数：9
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