BIHARMONIC IMMERSIONS INTO SPHERES AND ELLIPSOIDS

被引：0
作者：
Montaldo, S. [1 ]
Oniciuc, C. [2 ]
Ratto, A. [3 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy
[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania
[3] Univ Cagliari, Dipartimento Matemat & Informat, I-09123 Cagliari, Italy
来源：
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2014年 / 59卷 / 04期
关键词：
biharmonic maps; biharmonic curves; biharmonic submanifols; spheres and ellipsoids;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is focused on biharmonic immersions into spheres and ellipsoids: we shall discuss generalities, geometric properties of solutions and rigidity conditions which force a biharmonic submanifold of a sphere to be CMC. We shall also describe recent developments concerning the existence of biharmonic curves and, more generally, hypersurfaces, into Euclidean ellipsoids.
引用
收藏
页码：425 / 442
页数：18
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