Helicoidal maximal surfaces in Lorentz-Minkowski space

被引：27

作者：

Mira, P ^{[1
]}

Pastor, JA

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, E-30203 Murcia, Spain

[2] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

来源：

MONATSHEFTE FUR MATHEMATIK | 2003年 / 140卷 / 04期

关键词：

Minkowski space; helicoidal surface; Bjorling problem; maximal surface; associate family;

D O I：

10.1007/s00605-003-0111-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate helicoidal surfaces in Lorentz-Minkowski space L-3. A purely geometric method is used for classifying the helicoidal maximal surfaces. This description consists on exposing helicoidal maximal surfaces as solutions to certain adequate Bjorling problems in L-3, and shows that a maximal surface is helicoidal if and only if it lies in the associate family of a catenoid in L-3. We shall also give characteristic properties of the catenoids and helicoids in L-3.

引用

页码：315 / 334

页数：20

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