Hypersurfaces in Space Forms Satisfying the Condition Δx = Ax + B

DOI10.2307/2154974zbMath0829.53050OpenAlexW4239066539MaRDI QIDQ4846097

Pascual Lucas, Angel Ferrández, Luis J. Alías

Publication date: 26 September 1995

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154974

zbMATH Keywords

hypersurfaceLaplacianindefinite space form

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (10)

An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures ⋮ Submanifolds whose quadric representations satisfy \(\Delta \tilde x=B \tilde x+C\) ⋮ Hypersurfaces in pseudo-Euclidean spaces satisfying a linear condition on the linearized operator of a higher order mean curvature ⋮ Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\) ⋮ Hypersurfaces in the Lorentz-Minkowski space satisfying \(L_{k} \psi = A\psi + b\) ⋮ Unnamed Item ⋮ Timelike hypersurfaces in the standard Lorentzian space forms satisfying \({L_kx=ax+b}\) ⋮ Minimal immersions of Riemannian manifolds in products of space forms ⋮ Hypersurfaces with special quadric representations ⋮ Hypersurfaces satisfying \(L_rx = Rx\) in sphere \(\mathbb S^{n+1}\) or hyperbolic space \(\mathbb H^{n+1}\)

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