Chen's Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

DOI10.1186/s13660-018-1714-yzbMath1497.53111OpenAlexW2807631228WikidataQ55257762 ScholiaQ55257762MaRDI QIDQ824586

Karimumuryango Ménédore

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1714-y

zbMATH Keywords

minimal hypersurfacenull hypersurfaceriggingassociated Riemannian metricclosed normalizationRicci inequalities

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Unnamed Item ⋮ Chen-like inequalities on null hypersurfaces with closed rigging of a Lorentzian manifold

Cites Work

• Some inequalities on screen homothetic lightlike hypersurfaces of a Lorentzian manifold
• Some pinching and classification theorems for minimal submanifolds
• Improved Chen-Ricci inequality for curvature-like tensors and its applications
• Pseudoinversion of degenerate metrics
• Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold
• Induced Riemannian structures on null hypersurfaces
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Mean curvature and shape operator of isometric immersions in real-space-forms
• On the sectional curvature of lightlike submanifolds
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