BIHARMONIC INTEGRAL C-PARALLEL SUBMANIFOLDS IN 7-DIMENSIONAL SASAKIAN SPACE FORMS

被引：15

作者：

Fetcu, Dorel ^{[1
]}

Oniciuc, Cezar ^{[2
]}

机构：

[1] Gheorghe Asachi Tech Univ, Dept Math & Informat, Iasi 700506, Romania

[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

TOHOKU MATHEMATICAL JOURNAL | 2012年 / 64卷 / 02期

关键词：

Biharmonic submanifolds; Sasakian space forms; EXPLICIT FORMULAS; HYPERSURFACES; CLASSIFICATION; SURFACES;

D O I：

10.2748/tmj/1341249371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find the characterization of maximum dimensional proper-biharmonic integral C-parallel submanifolds of a Sasakian space form and then we classify such submanifolds in a 7-dimensional Sasakian space form. Working in the sphere S-7 we explicitly find all 3-dimensional proper-biharmonic integral C-parallel submanifolds. We also determine the proper-biharmonic parallel Lagrangian submanifolds of CP3.

引用

页码：195 / 222

页数：28

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