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arxiv: 1609.01978 · v1 · pith:B3PTB6USnew · submitted 2016-09-07 · 🧮 math.DG

Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes

classification 🧮 math.DG
keywords hypersurfacescomplexhyperbolicplanesprojectiveausterecertaincharacterization
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We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the complex projective and hyperbolic planes. We also obtain some partial classifications of austere hypersurfaces and of Levi-flat hypersurfaces with constant mean curvature in these spaces.

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