On the connectedness of the space of initial data for the Einstein equations.
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Smith, Brian, Weinstein, Gilbert (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Qian Wang (2009)
Annales de l'I.H.P. Analyse non linéaire
Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos (2016)
Colloquium Mathematicae
We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
Gianluca Gemelli (1998)
Bollettino dell'Unione Matematica Italiana
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