Ricci Curvature Inequalities for Contact CR-Warped Product Submanifolds of an Odd Dimensional Sphere Admitting a Semi-Symmetric Metric Connection

被引：0

作者：

Khan, Meraj Ali ^{[1
]}

Al-Dayel, Ibrahim ^{[1
]}

Aloui, Foued ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 01期

关键词：

contact CR-submanifolds; warped product manifolds; Ricci curvature; semi-symmetric; Sasakian manifolds; SPACE; GEOMETRY;

D O I：

10.3390/sym16010095

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The primary objective of this paper is to explore contact CR-warped product submanifolds of Sasakian space forms equipped with a semi-symmetric metric connection. We thoroughly examine these submanifolds and establish various key findings. Furthermore, we derive an inequality relating the Ricci curvature to the mean curvature vector and warping function.

引用

下载

页数：19

共 50 条

[1] Contact CR-Warped Product Submanifold of a Sasakian Space Form with a Semi-Symmetric Metric Connection
Khan, Meraj Ali
Al-Dayel, Ibrahim
Aloui, Foued
Hui, Shyamal Kumar
SYMMETRY-BASEL, 2024, 16 (02):
[2] Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere
Al-Dayel, Ibrahim
Khan, Meraj Ali
SYMMETRY-BASEL, 2023, 15 (08):
[3] HOMOLOGY OF CONTACT CR-WARPED PRODUCT SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
Sahin, Bayram
Sahin, Fulya
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (01) : 215 - 222
[4] Semi-Symmetric Metric Connections and Homology of CR-Warped Product Submanifolds in a Complex Space Form Admitting a Concurrent Vector Field
Khan, Meraj Ali
Al-Dayel, Ibrahim
Chaubey, Sudhakar Kumar
SYMMETRY-BASEL, 2024, 16 (06):
[5] A Topological sphere theorem for contact CR-warped product submanifolds of an odd-dimensional unit sphere
Sahin, Fulya
Sahin, Bayram
MATHEMATICA SLOVACA, 2022, 72 (03) : 737 - 744
[6] Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
Ali Khan, Meraj
Aldayel, Ibrahim
MATHEMATICS, 2020, 8 (08)
[7] Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting nearly Sasakian structure
Al-Dayel, Ibrahim
Khan, Meraj Ali
AIMS MATHEMATICS, 2021, 6 (03): : 2132 - 2151
[8] Contact CR-warped product submanifolds of generalized Sasakian space forms admitting Ricci soliton
Khan, Meraj Ali
Alkhaldi, Ali H.
Alqahtani, Lamia Saeed
Khan, Kamran
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (01)
[9] ON WEAKLY RICCI SYMMETRIC MANIFOLDS ADMITTING A SEMI-SYMMETRIC METRIC CONNECTION
Demirbag, Sezgin Altay
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (04): : 507 - 513
[10] Ricci Curvature of Contact CR-Warped Product Submanifolds in Generalized Sasakian Space Forms Admitting a Trans-Sasakian Structure
Khan, Meraj Ali
Ozel, Cenep
FILOMAT, 2021, 35 (01) : 125 - 146

← 1 2 3 4 5 →