Linear Weingarten submanifolds in the hyperbolic space

DOI10.1007/S13366-018-0420-8zbMath1412.53082OpenAlexW2892642342MaRDI QIDQ1740709

Jogli G. Araújo, Henrique Fernandes de Lima

Publication date: 2 May 2019

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-018-0420-8

zbMATH Keywords

hyperbolic spaceparallel normalized mean curvature vector fieldisoparametric submanifoldscomplete linear Weingarten submanifolds

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• On the geometry of linear Weingarten hypersurfaces in the hyperbolic space
• The geometry of closed conformal vector fields on Riemannian spaces
• Global rigidity theorems of hypersurfaces
• Hypersurfaces with constant scalar curvature
• Linear Weingarten spacelike submanifolds in de Sitter space
• Isometric immersions of Riemannian manifolds
• Local rigidity theorems for minimal hypersurfaces
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
• Isoparametric Submanifolds of Hyperbolic Spaces
• Harmonic functions on complete riemannian manifolds
• Hypersurfaces with constant scalar curvature in space forms

This page was built for publication: Linear Weingarten submanifolds in the hyperbolic space