Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space

Journal article

Ballesteros-Chávez, Daniel, Klingenberg, Wilhelm and Lambert, Ben 2020. Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin. https://doi.org/10.4153/S0008439520000910
AuthorsBallesteros-Chávez, Daniel, Klingenberg, Wilhelm and Lambert, Ben
Abstract

We prove existence of compact spacelike hypersurfaces with prescribed k - curvature in de Sitter space, where the prescription function depends on both space and the tilt function.

KeywordsNonlinear elliptic equations; Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics; Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
Year2020
JournalCanadian Mathematical Bulletin
PublisherCambridge University Press
ISSN1496-4287
Digital Object Identifier (DOI)https://doi.org/10.4153/S0008439520000910
Web address (URL)http://hdl.handle.net/10545/625618
https://creativecommons.org/licenses/by-nc-nd/2.0/uk/
hdl:10545/625618
Publication dates26 Nov 2020
Publication process dates
Deposited18 Feb 2021, 09:16
Accepted19 Nov 2020
Rights

Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

ContributorsSilesian University of Technology, Kaszubska, University of Durham and University of Derby
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