Some Families of Isoparametric Hypersurfaces and Rigidity in a Complex Hyperbolic Space

DOI10.2307/2001215zbMath0669.53052OpenAlexW4233967693MaRDI QIDQ3822815

Michael H. Vernon

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001215

zbMATH Keywords

isoparametric hypersurfacerigid immersioncomplex hyperbolic space form\(S^ 1\)-fibre bundleLorentzian hyperbolic space form

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Contact hypersurfaces of a complex hyperbolic space ⋮ Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex hyperbolic space

Cites Work

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• Focal Sets and Real Hypersurfaces in Complexes Projective Space
• Differential geometry of geodesic spheres.
• Jacobi fields and geodesic spheres
• Riemannian geometry
• On real hypersurfaces of a complex projective space

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