LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE

DOI10.1017/S0017089514000548zbMath1327.53075OpenAlexW2136777981WikidataQ125827180 ScholiaQ125827180MaRDI QIDQ2942602

Marco Antonio L. Velásquez, Cicero Pedro Aquino, Henrique Fernandes de Lima

Publication date: 11 September 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089514000548

zbMATH Keywords

scalar curvaturehyperbolic spacemean curvaturetotally umbilical submanifoldlinear Weingarten hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (4)

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces ⋮ New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles ⋮ Some half-space theorems in the real projective space ⋮ LW-surfaces with higher codimension and Liebmann's theorem in the hyperbolic space

Cites Work

• Unnamed Item
• On the geometry of linear Weingarten hypersurfaces in the hyperbolic space
• The geometry of closed conformal vector fields on Riemannian spaces
• Complete hypersurfaces with constant scalar curvature in spheres
• A maximum principle for hypersurfaces with constant scalar curvature and applications
• Rotational linear Weingarten surfaces of hyperbolic type
• On the scalar curvature of constant mean curvature hypersurfaces in space forms
• Hypersurfaces with constant scalar curvature
• Rotational linear Weingarten surfaces into the Euclidean sphere
• Isometric immersions of Riemannian manifolds
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
• Harmonic functions on complete riemannian manifolds
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• LINEAR WEINGARTEN HYPERSURFACES IN A REAL SPACE FORM

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