A CHARACTERISTIC PROPERTY OF DELAUNAY SURFACES

被引：3

作者：

Hasanis, Thomas ^{[1
]}

Lopez, Rafael ^{[2
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[2] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 12期

关键词：

Mean curvature; separable surface; Delaunay surface;

D O I：

10.1090/proc/15200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that Delaunay surfaces, besides the plane and the catenoid, are the only surfaces in Euclidean space with nonzero constant mean curvature that can be expressed by an implicit equation of type f(x)+ g(y)+ h(z) = 0, where f, g and h are smooth real functions of one variable.

引用

页码：5291 / 5298

页数：8

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