Article contents
Prescribed k-symmetric curvature hypersurfaces in de Sitter space
Published online by Cambridge University Press: 26 November 2020
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.
Keywords
MSC classification
- Type
- Article
- Information
- Copyright
- © Canadian Mathematical Society 2020
Footnotes
D.B-C. was supported by CONACYT-Doctoral scholarship no. 411485. B.L. was supported by a Leverhulme Trust Research Project Grant RPG-2016-174.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline1.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline2.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline3.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline4.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline5.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20211214172852732-0004:S0008439520000910:S0008439520000910_inline6.png?pub-status=live)
- 1
- Cited by