Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms

DOI10.1216/RMJ-2015-45-1-13zbMath1314.53104OpenAlexW2032045998MaRDI QIDQ2340830

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

Publication date: 21 April 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1428412772

zbMATH Keywords

second fundamental formtotally umbilical hypersurfaceshyperbolic cylindersLorentz space formslinear Weingarten space-like hypersurfaces

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)

Related Items (4)

Linear Weingarten submanifolds in unit sphere ⋮ On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form ⋮ On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes ⋮ On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms

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