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Weyl estimates for spacelike hypersurfaces in de Sitter space

Daniel Ballesteros-Chavez, Wilhelm Klingenberg and Ben Lambert

Vol. 320 (2022), No. 1, 1–11
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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Keywords
isometric embedding, Weyl estimates, de Sitter
Mathematical Subject Classification
Primary: 35J60, 53C20, 53C21, 53C42, 53C50
Milestones
Received: 21 December 2021
Revised: 27 July 2022
Accepted: 30 July 2022
Published: 16 October 2022
Authors
Daniel Ballesteros-Chavez
Department of Applied Mathematics
Silesian University of Technology
Gliwice
Poland
Wilhelm Klingenberg
Department of Mathematical Sciences
University of Durham
Durham
United Kingdom
Ben Lambert
School of Mathematics
University of Leeds
Leeds
United Kingdom