STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER-ORDER MEAN CURVATURES LINEARLY RELATED IN CONFORMALLY STATIONARY SPACETIMES
DOI10.1142/S0129167X13501097zbMath1320.53072OpenAlexW2039325258WikidataQ125755622 ScholiaQ125755622MaRDI QIDQ5401597
Marco Antonio L. Velásquez, Antonio F. de. Sousa, Henrique Fernandes de Lima
Publication date: 10 March 2014
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x13501097
Applications of differential geometry to physics (53Z05) General relativity (83C99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Cites Work
- Unnamed Item
- \(r\)-stable spacelike hypersurfaces in conformally stationary spacetimes
- Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space
- Stability of spacelike hypersurfaces in foliated spacetimes
- On the \(r\)-stability of space-like hypersurfaces
- Stability of hypersurfaces with constant mean curvature
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- Hypersurfaces with constant scalar curvature
- Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
- On the geometry of conformally stationary Lorentz spaces
- Structure of Lorentzian tori with a killing vector field
- INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
This page was built for publication: STABILITY OF SPACELIKE HYPERSURFACES WITH HIGHER-ORDER MEAN CURVATURES LINEARLY RELATED IN CONFORMALLY STATIONARY SPACETIMES