Event Details
Título: Calabi-Bernstein results in Lorentzian product spaces
Conferenciante: Eraldo Almeida Lima Jr (Universidade Federal do Ceara, Brasil)
Abstract: We deal with two-sided complete hypersurfaces immersed in a Lorentzian product space, whose base is supposed to have sectional curvature bounded from below. In this setting, we obtain sufficient conditions which assure that such a spacelike hypersurface is a slice of the ambient space, provided that its angle function has some suitable behavior. Furthermore, we establish a natural relation between our results and the classical problem of to describe the geometry of a hypersurface immersed in the Euclidean space through the behavior of its Gauss map.
Conferenciante: Eraldo Almeida Lima Jr (Universidade Federal do Ceara, Brasil)
Abstract: We deal with two-sided complete hypersurfaces immersed in a Lorentzian product space, whose base is supposed to have sectional curvature bounded from below. In this setting, we obtain sufficient conditions which assure that such a spacelike hypersurface is a slice of the ambient space, provided that its angle function has some suitable behavior. Furthermore, we establish a natural relation between our results and the classical problem of to describe the geometry of a hypersurface immersed in the Euclidean space through the behavior of its Gauss map.
