\(r\)-stable spacelike hypersurfaces in conformally stationary spacetimes

DOI10.2996/KMJ/1320935545zbMath1235.53062arXiv1003.0338OpenAlexW1972703479MaRDI QIDQ655528

Antonio Caminha, Henrique Fernandes de Lima, Marco Antonio L. Velásquez, Fernanda Ester Camillo Camargo

Publication date: 4 January 2012

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0338

zbMATH Keywords

spectrumde Sitter spaceelliptic operatorarea functionalhigher-order mean curvaturesNewton transformations\(r\)-stabilityconformally stationary space-times

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Uniqueness of complete spacelike hypersurfaces via their higher order mean curvatures in a conformally stationary spacetime ⋮ Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume ⋮ STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER-ORDER MEAN CURVATURES LINEARLY RELATED IN CONFORMALLY STATIONARY SPACETIMES

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