Application of Differential Equations on the Ricci Curvature of Contact CR-Warped Product Submanifolds of S2n+1(1) with Semi-Symmetric Metric Connection

Autor:	Meraj Ali Khan, Amira A. Ishan, Ibrahim Al-Dayel, Khalid Masood
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	inequality Riemannian manifolds submanifolds Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 11, p 1463 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16111463
Popis:	In this paper, we explore the uses of Obata’s differential equation in relation to the Ricci curvature of an odd-dimensional sphere that possesses a semi-symmetric metric connection. Specifically, we establish that, given certain conditions, the underlying submanifold can be identified as an isometric sphere. Additionally, we investigate the impact of specific differential equations on these submanifolds and demonstrate that, when certain geometric conditions are met, the base submanifold can be characterized as a special type of warped product.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/50d05621dc6e4568887f9e8ad6fbbdd2 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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