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

共 50 条

[21] On 3-dimensional contact slant submanifolds in Sasakian space forms
Mihai, I
Tazawa, Y
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 68 (02) : 275 - 283
[22] Biharmonic submanifolds of generalized space forms
Roth, Julien
Upadhyay, Abhitosh
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 50 : 88 - 104
[23] f-BIHARMONIC SUBMANIFOLDS AND f-BIHARMONIC INTEGRAL SUBMANIFOLDS IN LOCALLY CONFORMAL ALMOST COSYMPLECTIC SPACE FORMS
Aslam, Mohd
Karaca, Fatma
Siddiqui, Aliya Naaz
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (02): : 595 - 606
[24] Biharmonic legendre curves in sasakian space forms
Fetcu, Dorel
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) : 393 - 404
[25] A note on biharmonic curves in Sasakian space forms
Fetcu, Dorel
ANNALI DI MATEMATICA PURA ED APPLICATA, 2010, 189 (04) : 591 - 603
[26] A note on biharmonic curves in Sasakian space forms
Dorel Fetcu
Annali di Matematica Pura ed Applicata, 2010, 189 : 591 - 603
[27] On Legendre Submanifolds in Lorentzian Sasakian Space Forms
Ji-Eun Lee
Bulletin of the Iranian Mathematical Society, 2021, 47 : 1893 - 1903
[28] On Legendre Submanifolds in Lorentzian Sasakian Space Forms
Lee, Ji-Eun
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (06) : 1893 - 1903
[29] ON INVARIANT SUBMANIFOLDS IN GENERALIZED SASAKIAN SPACE FORMS
Shukla, S. S.
Chaubey, Pavan Kumar
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2010, 8 (02) : 173 - 188
[30] A basic inequality for submanifolds in Sasakian space forms
Kim, YH
Kim, DS
HOUSTON JOURNAL OF MATHEMATICS, 1999, 25 (02): : 247 - 257

← 1 2 3 4 5 →