Prescribed k-symmetric curvature hypersurfaces in de Sitter space
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 886-901
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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.
Mots-clés :
Prescribed curvature equations, fully nonlinear elliptic equations, symmetric curvature functions, de Sitter space, Lorentz manifolds, semi-Riemannian manifolds, spacelike submanifolds, tilt function
Ballesteros-Chávez, Daniel; Klingenberg, Wilhelm; Lambert, Ben. Prescribed k-symmetric curvature hypersurfaces in de Sitter space. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 886-901. doi: 10.4153/S0008439520000910
@article{10_4153_S0008439520000910,
author = {Ballesteros-Ch\'avez, Daniel and Klingenberg, Wilhelm and Lambert, Ben},
title = {Prescribed k-symmetric curvature hypersurfaces in de {Sitter} space},
journal = {Canadian mathematical bulletin},
pages = {886--901},
year = {2021},
volume = {64},
number = {4},
doi = {10.4153/S0008439520000910},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000910/}
}
TY - JOUR AU - Ballesteros-Chávez, Daniel AU - Klingenberg, Wilhelm AU - Lambert, Ben TI - Prescribed k-symmetric curvature hypersurfaces in de Sitter space JO - Canadian mathematical bulletin PY - 2021 SP - 886 EP - 901 VL - 64 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000910/ DO - 10.4153/S0008439520000910 ID - 10_4153_S0008439520000910 ER -
%0 Journal Article %A Ballesteros-Chávez, Daniel %A Klingenberg, Wilhelm %A Lambert, Ben %T Prescribed k-symmetric curvature hypersurfaces in de Sitter space %J Canadian mathematical bulletin %D 2021 %P 886-901 %V 64 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000910/ %R 10.4153/S0008439520000910 %F 10_4153_S0008439520000910
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