f-biharmonic and bi-f-harmonic submanifolds of generalized (k, μ)-space-forms

被引：1

作者：

Hui, Shyamal Kumar ^{[1
]}

Breaz, Daniel ^{[2
]}

Mandal, Pradip ^{[1
]}

机构：

[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

[2] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia 510009, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2019年 / 27卷 / 03期

关键词：

generalized; (k; mu)-space-forms; f-biharmonic submanifold; bi-f-biharmonic submanifold; f-biharmonic hypersurface; MAPS;

D O I：

10.2478/auom-2019-0036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, mu)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, mu)-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied f-biharmonic hypersurfaces of said ambient space forms.

引用

页码：97 / 112

页数：16

共 48 条

[41] Bounds for Generalized Normalized δ-Casorati Curvatures for Bi-slant Submanifolds in T space Forms
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[42] Ricci curvature of integral submanifolds of an f.p.k.-space form
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[44] Conformally flat generalized globally framed f-space-forms
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[45] LOWER EXTREMITIES FOR GENERALIZED NORMALIZED delta-CASORATI CURVATURES OF BI-SLANT SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS
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[46] A LOWER BOUND OF NORMALIZED SCALAR CURVATURE FOR BI-SLANT SUBMANIFOLDS IN GENERALIZED SASAKIAN SPACE FORMS USING CASORATI CURVATURES
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[47] Ricci curvature for biwarped product submanifolds of the type Nθ1 x f2 Nθ2 x f3 Nθ3 in Kenmotsu space forms
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[48] Submanifolds of generalized (k,μ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(k,\mu )$$\end{document}-space-forms
Shyamal Kumar Hui
Siraj Uddin
Pradip Mandal
Periodica Mathematica Hungarica, 2018, 77 (2) : 329 - 339

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