On the Global Structure of Hopf Hypersurfaces in Complex Space Form
Differential Geometry
2008-03-28 v1
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
Keywords
Cite
@article{arxiv.0803.3943,
title = {On the Global Structure of Hopf Hypersurfaces in Complex Space Form},
author = {Alexander A. Borisenko},
journal= {arXiv preprint arXiv:0803.3943},
year = {2008}
}