Submanifolds with constant scalar curvature in a space form

DOI10.1016/J.JMAA.2016.10.033zbMath1356.53056OpenAlexW2532610027MaRDI QIDQ335437

Marco Antonio L. Velásquez, Fábio R. dos Santos, Jogli G. Araújo, Henrique Fernandes de Lima

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.10.033

zbMATH Keywords

scalar curvaturesubmanifoldmean curvaturespace form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

Characterizations of linear Weingarten submanifolds ⋮ Rigidity of spacelike LW-submanifolds in the de Sitter space ⋮ New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles ⋮ Sharp Simons type integral inequalities for closed linear Weingarten submanifolds in a space form

Cites Work

• Submanifolds with constant scalar curvature in a unit sphere
• Complete hypersurfaces with constant scalar curvature in spheres
• A maximum principle for hypersurfaces with constant scalar curvature and applications
• On the scalar curvature of constant mean curvature hypersurfaces in space forms
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Hypersurfaces with constant scalar curvature
• Submanifolds with parallel mean curvature vector in spheres
• Isometric immersions of Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• Submanifolds with Constant Mean Curvature
• Maximum principles on Riemannian manifolds and applications
• Submanifolds with constant scalar curvature
• Hypersurfaces with constant scalar curvature in space forms

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