Weyl estimates for spacelike hypersurfaces in de Sitter space
Daniel Ballesteros-Chavez, Wilhelm Klingenberg, Ben Lambert
TL;DR
This paper investigates the problem of isometric spacelike embeddings in scaled de Sitter space, deriving Weyl-type estimates and establishing the closedness of the embedding space.
Contribution
It introduces Weyl estimates for spacelike hypersurfaces in de Sitter space and proves the closedness of the embedding space, advancing understanding of geometric embedding problems.
Findings
Weyl-type estimates for spacelike hypersurfaces
Closedness of the embedding space in de Sitter space
New techniques for isometric embedding problems
Abstract
We study the isometric spacelike embedding problem in scaled de Sitter space, and obtain Weyl-type estimates and the corresponding closedness in the space of embeddings.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology