Prescribed k-symmetric curvature hypersurfaces in de Sitter space
DOI10.4153/S0008439520000910zbMath1486.35185arXiv1907.13542WikidataQ125373091 ScholiaQ125373091MaRDI QIDQ5019195
Ben Lambert, Daniel Ballesteros-Chavez, Wilhelm jun. Klingenberg
Publication date: 3 January 2022
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13542
de Sitter spaceLorentz manifoldssemi-Riemannian manifoldsspacelike submanifoldsprescribed curvature equations
Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Cites Work
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- Curvature estimates of hypersurfaces in the Minkowski space
- Hypersurfaces of prescribed curvature measure
- Interior curvature bounds for a class of curvature equations
- Starshaped compact hypersurfaces with prescribed \(k\)-th mean curvature in hyperbolic space
- Spacelike hypersurfaces with prescribed boundary values and mean curvature
- H-surfaces in Lorentzian manifolds
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Hypersurfaces of prescribed Weingarten curvature
- Interior curvature bounds for spacelike hypersurfaces of prescribed \(k\)-th mean curvature
- Hypersurfaces of prescribed curvature in Lorentzian manifolds
- Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- Global C2‐Estimates for Convex Solutions of Curvature Equations
- On Newton's Inequality for Real Polynomials
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