On hypersurfaces of hyperbolic space infinitesimally supported by horospheres
On hypersurfaces of hyperbolic space infinitesimally supported by horospheres
This paper is concerned with complete, smooth immersed hypersurfaces of hyperbolic space that are infinitesimally supported by horospheres. This latter condition may be restated as requiring that all eigenvalues of the second fundamental form, with respect to a particular unit normal field, be at least one. The following alternative must …