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arXiv · 0803.3943

On the Global Structure of Hopf Hypersurfaces in Complex Space Form

Alexander A. Borisenko
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Abstract

It is known that a tube over a Kahler submanifold in a complex form is a Hopf hypersurface. In some sense the reverse statement is true: a connected compact generic immersed C^(2n-1) regular Hopf hypersurface in the complex projective plane is a tube iver an irreducible algebraic variety. In the complex hyperbolic space a connected compact generic immersed C^(2n-1) regular Hopf hypersurface is a geodesic hypersphere

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Alexander A. Borisenko. 2008-03-27. On the Global Structure of Hopf Hypersurfaces in Complex Space Form. https://arxiv.org/abs/0803.3943

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