Pinching Results for Submanifolds in Lorentzian–Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection

Mohammed Mohammed, Ion Mihai () and Andreea Olteanu
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Mohammed Mohammed: School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, South Africa
Ion Mihai: Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania
Andreea Olteanu: Department of Mathematics, Physics and Terrestrial Measurements, Faculty of Land Reclamation and Environmental Engineering, University of Agronomic Sciences and Veterinary Medicine of Bucharest, 011464 Bucharest, Romania

Mathematics, 2024, vol. 12, issue 23, 1-18

Abstract: We establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also, we present examples of slant submanifolds in a Lorentzian–Sasakian space form.

Keywords: Chen invariants; Chen inequalities; Casorati curvature; Lorentzian–Sasakian manifold; semi-symmetric connection; non-metric connection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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