Bounds for Generalized Normalized delta-Casorati Curvatures for Submanifolds in Generalized (kappa, mu)-space Forms

被引：1

作者：

Aquib, Mohd ^{[1
]}

Shahid, Mohammad Hasan ^{[1
]}

机构：

[1] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2018年 / 58卷 / 01期

关键词：

Casorati curvature; generalized; (kappa; mu)-space forms; normalized scalar curvature;

D O I：

10.5666/KMJ.2018.58.1.167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the optimal inequalities for the generalized normalized delta-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized (kappa, mu)-space forms. The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form. We also characterize the submanifolds on which equalities hold.

引用

页码：167 / 182

页数：16

共 32 条

[1] LOWER EXTREMITIES FOR GENERALIZED NORMALIZED delta-CASORATI CURVATURES OF BI-SLANT SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS
Aquib, Mohd
Shahid, Mohammad Hasan
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[2] Bounds for Generalized Normalized δ-Casorati Curvatures for Bi-slant Submanifolds in T space Forms
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[3] Generalized normalized delta-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms
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[4] Bounds for Generalized Normalized δ-Casorati Curvatures for Submanifolds in Bochner Kaehler Manifold
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[5] Certain inequalities for the Casorati curvatures of submanifolds of generalized (k, μ)-space-forms
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[7] Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms
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[8] A LOWER BOUND OF NORMALIZED SCALAR CURVATURE FOR BI-SLANT SUBMANIFOLDS IN GENERALIZED SASAKIAN SPACE FORMS USING CASORATI CURVATURES
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[9] On doubly warped product submanifolds of generalized (kappa, mu)-space forms
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AFRIKA MATEMATIKA, 2015, 26 (7-8) : 1443 - 1455
[10] On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms
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Mathematical Physics, Analysis and Geometry, 2019, 22

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