Curvature estimates of spacelike surfaces in de Sitter space

TL;DR

This paper derives local curvature estimates for spacelike hypersurfaces in de Sitter space, linking maximal curvature bounds to interior and boundary conditions for specific curvature functions.

Contribution

It provides new local curvature estimates for admissible spacelike hypersurfaces in de Sitter space based on interior and boundary data.

Findings

Maximal curvatures depend on interior data

Boundary conditions influence curvature bounds

Estimates apply to k-symmetric curvature functions

Abstract

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.