Classification results and new examples of proper biharmonic submanifolds in spheres

被引：16

作者：

Balmus, Adina ^{[1
]}

Montaldo, Stefano ^{[1
]}

Oniciuc, Cezar ^{[2
]}

机构：

[1] Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy

[2] AlI Cuza Univ Iasi, Fac Math, Iasi 700506, Romania

来源：

NOTE DI MATEMATICA | 2008年 / 28卷

关键词：

biharmonic maps; biharmonic submanifolds; isoparametric hypersurfaces;

D O I：

10.1285/i15900932v28n1supplp49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we survey the known results on the classification of biharmonic submanifolds in space forms and construct a family of new examples of proper biharmonic submanifolds in the Euclidean n-dimensional sphere.

引用

页码：49 / 61

页数：13

共 20 条

[1] Classification results for biharmonic submanifolds in spheres [J].

Balmus, A. ;

Montaldo, S. ;

Oniciuc, C. .

ISRAEL JOURNAL OF MATHEMATICS, 2008, 168 (01) :201-220

[2]

Balmus A., MATH NACHR IN PRESS

[3] Biharmonic submanifolds of S3 [J].

Caddeo, R ;

Montaldo, S ;

Oniciuc, C .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2001, 12 (08) :867-876

[4] Biharmonic submanifolds in spheres [J].

Caddeo, R ;

Montaldo, S ;

Oniciuc, C .

ISRAEL JOURNAL OF MATHEMATICS, 2002, 130 (1) :109-123

[5] On the remarkable families of isoparametric hypersurfaces in spherical spaces. [J].

Cartan, E .

MATHEMATISCHE ZEITSCHRIFT, 1939, 45 :335-367

[6] ON CLOSED HYPERSURFACES OF CONSTANT SCALAR CURVATURES AND MEAN CURVATURES IN S(N+1) [J].

CHANG, SP .

PACIFIC JOURNAL OF MATHEMATICS, 1994, 165 (01) :67-76

[7]

Chen B.-Y., 1973, PURE APPL MATH, V22

[8]

Chen BY, 1991, SOOCHOW J MATH, V17, P169

[9]

CHEN BY, 1996, SOOCHOW J MATH, V22, P117

[10]

Dimitric I, 1992, B I MATH ACAD SIN, V20, P53

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