Entire spacelike -graphs in Lorentzian product spaces

In this work we establish suffcient conditions to ensure that an entire spacelike graph immersed with constant mean curvature in a Lorentzian product space, whose Riemannian fiber has sectional curvature bounded from below, must be a trivial slice of the ambient space.

Detalles Bibliográficos
Autores: Lima, Henrique F. de, Lima Jr., Eraldo A.
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:160574
Acceso en línea:https://ddd.uab.cat/record/160574
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_60216_01
Access Level:acceso abierto
Palabra clave:Lorentzian product spaces
Spacelike hypersurfaces
Mean curvature
Entire spacelike h-graphs
Descripción
Sumario:In this work we establish suffcient conditions to ensure that an entire spacelike graph immersed with constant mean curvature in a Lorentzian product space, whose Riemannian fiber has sectional curvature bounded from below, must be a trivial slice of the ambient space.