Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms. The equality cases are also discussed.

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Publication Details

Journal
International Electronic Journal of Geometry
Published
2026-04-22
DOI
https://doi.org/10.36890/iejg.1849809
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

Ion Mihai, Mukut Mani Tripathi, Adela Mihai
International Electronic Journal of Geometry
Geometric Analysis and Curvature Flows
article

Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

Ion Mihai, Mukut Mani Tripathi, Adela Mihai
article en

Abstract

The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms. The equality cases are also discussed.

International Electronic Journal of GeometryVol. 19(1)
University of Bucharest (RO), Technical University of Civil Engineering of Bucharest (RO), Banaras Hindu University (IN)
Bulgarian Academy of Sciences
Reduced inequalities
Openalex Percentile: Top 12%
Geometric Analysis and Curvature Flows
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