Correspondences of hypersurfaces in hyperbolic Poincaré manifolds and conformally invariant PDEs

DOI10.1090/S0002-9939-2010-10512-9zbMath1202.53053OpenAlexW1995167990MaRDI QIDQ3056554

José M. Espinar, Vincent Bonini, Jie Qing

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10512-9

zbMATH Keywords

second fundamental formhypersurfacesSchouten tensorconformally invariant PDEhyperbolic Poincaré manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Global submanifolds (53C40)

Related Items (4)

On nonnegatively curved hypersurfaces in \(\mathbb{H}^{n+1}\) ⋮ Weakly horospherically convex hypersurfaces in hyperbolic space ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ Hypersurfaces in hyperbolic space with support function

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• On some conformally invariant fully nonlinear equations
• \(L^2\) curvature and volume renormalization of AHE metrics on 4-manifolds

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