Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space

Ballesteros-Chávez, Daniel; Klingenberg, Wilhelm; Lambert, Ben

Abstract

We prove the 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.

Citation

Ballesteros-Chávez, D., Klingenberg, W., & Lambert, B. (2021). Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin, 64(4), 886-901. https://doi.org/10.4153/s0008439520000910

• Journal Article Type: Article
• Acceptance Date: Nov 19, 2020
• Online Publication Date: Nov 26, 2020
• Publication Date: 2021-12
• Deposit Date: Nov 19, 2020
• Publicly Available Date: May 26, 2021
• Journal: Canadian Mathematical Bulletin
• Print ISSN: 0008-4395
• Electronic ISSN: 1496-4287
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 64
• Issue: 4
• Pages: 886-901
• DOI: https://doi.org/10.4153/s0008439520000910
• Public URL: https://durham-repository.worktribe.com/output/1284947
• Related Public URLs: www.arxiv.org/abs/1907.13542