On the Global Structure of Hopf Hypersurfaces in Complex Space Form

Details On the Global Structure of Hopf Hypersurfaces in Complex Space Form On the Global Structure of Hopf Hypersurfaces in Complex Space Form

2008-03-27

arxiv.org/abs/0803.3943v1

Illinois Journal of Mathematics, Vol.45. N1,P.265-277,2001

Mathematics

Differential Geometry

Scientific paper

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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