Solutions of the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space

被引：2

作者：

Kaya, Seher ^{[1
]}

Lopez, Rafael ^{[2
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkey

[2] Univ Granada, Inst Math IEMath GR, Dept Geometry & Topol, Granada, Spain

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 05期

关键词：

Timelike minimal surface; Bjorling problem; circle; helix; MAXIMAL SURFACES; MINIMAL-SURFACES; GEOMETRY;

D O I：

10.3906/mat-1801-93

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a number of new examples of timelike minimal surfaces in the Lorentz-Minkowski space. Our method consists of solving the Bjorling problem by prescribing a circle or a helix as the core curve a and rotating with constant angular speed the unit normal vector field in the normal plane to alpha. As particular cases, we exhibit new examples of timelike minimal surfaces invariant by a uniparametric group of helicoidal motions.

引用

页码：2186 / 2201

页数：16

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