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Geometric properties of Lie hypersurfaces in a complex hyperbolic space

Young Ho Kim; Sadahiro Maeda; Hiromasa Tanabe — 2019

Czechoslovak Mathematical Journal

We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior of the characteristic vector field and their holomorphic distributions.

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