English

Curvature estimates of spacelike surfaces in de Sitter space

Differential Geometry 2022-02-08 v2

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.

Keywords

Cite

@article{arxiv.1905.09587,
  title  = {Curvature estimates of spacelike surfaces in de Sitter space},
  author = {Daniel Ballesteros-Chávez},
  journal= {arXiv preprint arXiv:1905.09587},
  year   = {2022}
}

Comments

typos corrected, details added in section 3, proof of Proposition 1 shortened, results unchanged