Biharmonic submanifolds in spheres

被引：162
作者：
Caddeo, R
Montaldo, S
Oniciuc, C
机构：
[1] Univ Cagliari, Dipartimento Matemat, I-09124 Cagliari, Italy
[2] Univ Al I Cuza, Fac Math, Iasi 6600, Romania
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2002年 / 130卷 / 1期
关键词：
Riemannian Manifold; Sectional Curvature; Isometric Immersion; Geodesic Curvature; Biharmonic Equation;
D O I：
10.1007/BF02764073
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some methods to construct examples of nonharmonic biharmonic submanifolds of the unit n-dimensional sphere S-n. In the case of curves in S-n we solve explicitly the biharmonic equation.
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页码：109 / 123
页数：15
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