Lorentzian isoparametric hypersurfaces in \(H_1^{n+1}\)

DOI10.2140/pjm.1999.189.377zbMath0923.53023OpenAlexW2058075401MaRDI QIDQ1127917

Liang Xiao

Publication date: 10 August 1998

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.189.377

zbMATH Keywords

Lorentzian space formisoparametric hypersurfaceLorentzian isoparametric hypersurface

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 (12)

Isoparametric hypersurfaces in complex hyperbolic spaces ⋮ Spacelike Dupin hypersurfaces in Lorentzian space forms ⋮ Semi-symmetric Lorentzian hypersurfaces in Lorentzian space forms ⋮ Polyharmonic hypersurfaces into pseudo-Riemannian space forms ⋮ \(L_1\)-\(2\)-type surfaces in 3-dimensional de Sitter and anti de Sitter spaces ⋮ Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces ⋮ Timelike hypersurfaces in the standard Lorentzian space forms satisfying \({L_kx=ax+b}\) ⋮ Constant mean curvature invariant surfaces and extremals of curvature energies ⋮ Null screen isoparametric hypersurfaces in Lorentzian space forms ⋮ Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space ⋮ An ODE reduction method for the semi-Riemannian Yamabe problem on space forms ⋮ A variational characterization of profile curves of invariant linear Weingarten surfaces

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