A Lower Bound of Normalized Scalar Curvature for the Submanifolds of Locally Conformal Kaehler Space Form Using Casorati Curvatures

被引：5

作者：

Lone, Mehraj Ahmad ^{[1
]}

机构：

[1] Cent Univ Jammu, Dept Math, Jammu 180011, India

来源：

FILOMAT | 2017年 / 31卷 / 15期

关键词：

Casorati curvature; locally conformal Kaehler space form; normalized scalar curvature;

D O I：

10.2298/FIL1715925L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we prove the inequality between the normalized scalar curvature and the generalized normalized delta-Casorati curvatures for the submanifolds of locally conformal Kaehler space form and also consider the equality case of the inequality.

引用

页码：4925 / 4932

页数：8

共 29 条

[21] SOME REMARKS ON CR-SUBMANIFOLDS OF A LOCALLY CONFORMAL KAEHLER MANIFOLD WITH PARALLEL LEE FORM
PAPAGHIUC, N
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1993, 43 (3-4): : 337 - 341
[22] GENERALIZED WINTGEN INEQUALITY FOR BI-SLANT SUBMANIFOLDS IN LOCALLY CONFORMAL KAEHLER SPACE FORMS
Aquib, Mohd
Lone, Mohamd Saleem
Lone, Mehraj Ahmad
MATEMATICKI VESNIK, 2018, 70 (03): : 243 - 249
[23] A lower bound for the Ricci curvature of submanifolds in generalized Sasakian space forms
Malek, Fereshteh
Nejadakbary, Vahid
ADVANCES IN GEOMETRY, 2013, 13 (04) : 695 - 711
[24] Upper Bound Inequalities for delta-Casorati Curvatures of Submanifolds in Generalized Sasakian Space Forms Admitting a Semi-Symmetric Metric Connection
Siddiqui, Aliya Naaz
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2018, 11 (01): : 57 - 67
[25] QUANTITATIVE VOLUME SPACE FORM RIGIDITY UNDER LOWER RICCI CURVATURE BOUND I
Chen, Lina
Rong, Xiaochun
Xu, Shicheng
JOURNAL OF DIFFERENTIAL GEOMETRY, 2019, 113 (02) : 227 - 272
[26] QUANTITATIVE VOLUME SPACE FORM RIGIDITY UNDER LOWER RICCI CURVATURE BOUND II
Chen, Lina
Rong, Xiaochun
Xu, Shicheng
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (06) : 4509 - 4523
[27] Generalized normalized δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{\delta }$$\end{document}-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms
Mohd. Aquib
Mohammad Hasan Shahid
Journal of Geometry, 2018, 109 (1)
[28] Inequalities for generalized normalized δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}-Casorati curvatures of slant submanifolds in metallic Riemannian space forms
Majid Ali Choudhary
Adara M. Blaga
Journal of Geometry, 2020, 111 (3)
[29] Optimization on slant submanifolds of golden Riemannian manifolds using generalized normalized δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}-Casorati curvatures
Majid Ali Choudhary
Kwang-Soon Park
Journal of Geometry, 2020, 111 (2)

← 1 2 3 →