2 papers
math.DG2008
On the Global Structure of Hopf Hypersurfaces in Complex Space Form
Alexander A. Borisenko
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-…
math.DG2008
Convex Hypersurfaces in Hadamard Manifolds
Alexander A. Borisenko
We prove a theorem about an extremal property of Lobachevsky space among simply connected Riemannian manifolds of nonpositive curvature