(del)over-barHARMONIC CURVES AND SURFACES IN EUCLIDEAN SPACE E-n

被引：1
|
作者：
Kilic, Bengu [1 ]
机构：
[1] Balikesir Univ, Fac Art & Sci, Dept Math, Balikesir, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2005年 / 54卷 / 02期
关键词：
Harmonic submanifolds; biharmonic curves and surface;
D O I：
10.1501/Commua1_0000000326
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study we consider (del) over bar -harmonic curves and surfaces in Euclidean n-spaces E-n.We proved that every weak biharmonic curve is (del) over bar -harmonic.We also showed that every 1-parallel surface in E-4 is (del) over bar -harmonic, but the converse is not true. Finally we give the necessary condition for Vranceanu's surface to become (del) over bar -harmonic.
引用
收藏
页码：13 / 20
页数：8
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