Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations

Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations

Recently, we have obtained Ricci curvature inequalities for skew CR-warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean...

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Main Authors: Ibrahim Al-Dayel, Meraj Ali Khan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/3609502
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spelling doaj-1e981f3031f6438fbbba124ae0c29c5a2021-07-19T01:04:17ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/3609502Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential EquationsIbrahim Al-Dayel0Meraj Ali Khan1Department of Mathematics and StatisticsDepartment of MathematicsRecently, we have obtained Ricci curvature inequalities for skew CR-warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space. Furthermore, we study the impact of some differential equations on skew CR-warped product submanifolds and prove that, under some geometric conditions, the base is isometric to a special type of warped product.http://dx.doi.org/10.1155/2021/3609502
collection DOAJ
language English
format Article
sources DOAJ
author Ibrahim Al-Dayel
Meraj Ali Khan
spellingShingle Ibrahim Al-Dayel
Meraj Ali Khan
Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
Mathematical Problems in Engineering
author_facet Ibrahim Al-Dayel
Meraj Ali Khan
author_sort Ibrahim Al-Dayel
title Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
title_short Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
title_full Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
title_fullStr Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
title_full_unstemmed Characterization of Skew CR-Warped Product Submanifolds in Complex Space Forms via Differential Equations
title_sort characterization of skew cr-warped product submanifolds in complex space forms via differential equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description Recently, we have obtained Ricci curvature inequalities for skew CR-warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space. Furthermore, we study the impact of some differential equations on skew CR-warped product submanifolds and prove that, under some geometric conditions, the base is isometric to a special type of warped product.
url http://dx.doi.org/10.1155/2021/3609502
work_keys_str_mv AT ibrahimaldayel characterizationofskewcrwarpedproductsubmanifoldsincomplexspaceformsviadifferentialequations
AT merajalikhan characterizationofskewcrwarpedproductsubmanifoldsincomplexspaceformsviadifferentialequations
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