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.
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页数：16
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