Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations | Zendy

Fatemah Mofarreh | Zendy; Akram Ali | Zendy; Nadia Alluhaibi | Zendy; Olga Belova | Zendy

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Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Author(s) -

Fatemah Mofarreh,

Akram Ali,

Nadia Alluhaibi,

Olga Belova

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/1207646

Subject(s) - mathematics , curvature , ricci curvature , space (punctuation) , mathematical analysis , differential (mechanical device) , product (mathematics) , pure mathematics , geometry , philosophy , linguistics , engineering , aerospace engineering

In the present paper, we establish a ChenâRicci inequality for a C-totally real warped product submanifold of Sasakian space forms . As ChenâRicci inequality applications, we found the characterization of the base of the warped product via the first eigenvalue of LaplaceâBeltrami operator defined on the warping function and a second-order ordinary differential equation. We find the necessary conditions for a base of a C-totally real-warped product submanifold to be an isometric to the Euclidean sphere .

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