SURFACES IN E3 MAKING CONSTANT ANGLE WITH KILLING VECTOR FIELDS

被引：7

作者：

Munteanu, Marian Ioan ^{[1
]}

Nistor, Ana Irina ^{[2
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[2] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 06期

关键词：

Lancret problem; Killing vector field; Euclidean space; Dini's surface; HELICES; CURVES;

D O I：

10.1142/S0129167X11007665

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we classify curves and surfaces in Euclidean 3-space which make constant angle with a certain Killing vector field. Moreover, we characterize the catenoid and Dini's surface in terms of constant angle surfaces.

引用

页数：16

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