Real algebraic curves of constant width

被引：4

作者：

Panraksa, Chatchawan ^{[1
]}

Washington, Lawrence C. ^{[2
]}

机构：

[1] Mahidol Univ Int Coll, Sci Div, Appl Math Program, 999 Phutthamonthon 4 Rd, Salaya 73170, Nakhonpathom, Thailand

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

PERIODICA MATHEMATICA HUNGARICA | 2017年 / 74卷 / 02期

关键词：

Constant width; Algebraic curves; Isolated points; Convex curves;

D O I：

10.1007/s10998-016-0149-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：235 / 244

页数：10

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