Curvature estimates for spacelike hypersurfaces in de Sitter space

BALLESTEROS-CHAVEZ, DANIEL (2019) Curvature estimates for spacelike hypersurfaces in de Sitter space. Doctoral thesis, Durham University.
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Local estimates of the maximal curvatures of admissible spacelike hypersurfaces in de Sitter space for k-symmetric curvature functions are obtained. They depend on interior and boundary data. The curvature function is also assumed to depend on the tilt/slope of the hypersurface and an additional growth condition holds.


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