2009/12/03 by Thomas Ivey, Ivey, Thomas A.
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.0912.0649
A Hopf hypersurface in complex hyperbolic space CHn is one in which the complex structure applied to the normal vector is a principal direction at each point. In this paper, Hopf hypersurfaces for which the corresponding principal curvature is small (relative to the ambient sectional curvature) are studied by means of a generalized Gauss map into a product of spheres, and it is shown that the hypersurface may be recovered from the image of this map, via an explicit formula.