Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations
type: Item
instance of: scholarly article
title: Ricci curvature for warped product submanifolds of Sasakian space forms and its applications to differential equations
zbMATH Open document ID: 1477.53088
DOI: 10.1155/2021/1207646
author: Akram Ali
author: Nadia Alluhaibi
author: Fatemah Y. Y. Mofarreh
author: O. O. Belova
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: In the present paper, we establish a Chen-Ricci inequality for a C-totally real warped product submanifold \(M^n\) of Sasakian space forms \(\mathbb{M}^{2 m + 1}(\varepsilon)\). As Chen-Ricci inequality applications, we found the characterization of the base of the warped product \(M^n\) via the first eigenvalue of Laplace-Beltrami operator defined on the warping function and a second-order ordinary differential equation. We find the necessary conditions for a base \(\mathbb{B}\) of a C-totally real-warped product submanifold to be an isometric to the Euclidean sphere \(\mathbb{S}^p\).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 7393925
Wikidata QID: Q115243739
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1207646
OpenAlex ID: W3121708870
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description: scientific article; zbMATH DE number 7393925