On the scalar curvature of hypersurfaces in spaces with a Killing field
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Publication:3580694
DOI10.1515/ADVGEOM.2010.017zbMath1194.53018arXiv0906.2111OpenAlexW1968819809MaRDI QIDQ3580694
Juan A. Aledo, Alma L. Albujer, Luis J. Alías
Publication date: 13 August 2010
Published in: advg (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.2111
Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (6)
Biharmonic hypersurfaces in a product space Lm×R ⋮ Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature ⋮ Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product ⋮ A correspondence for isometric immersions into product spaces and its applications ⋮ Constant mean curvature spacelike hypersurfaces in standard static spaces: rigidity and parabolicity ⋮ Compact surfaces with constant Gaussian curvature in product spaces
Cites Work
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
- A Bernstein-type theorem for Riemannian manifolds with a Killing field
- Stability of spacelike hypersurfaces in foliated spacetimes
- New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
- Complete surfaces with positive extrinsic curvature in product spaces
- The theory of minimal surfaces in \(M\times \mathbb R\)
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