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.
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页码：195 / 222
页数：28
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