On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes

DOI10.1016/J.DIFGEO.2023.102000OpenAlexW4324141310WikidataQ122497356 ScholiaQ122497356MaRDI QIDQ6044448

André F. A. Ramalho, Marco Antonio L. Velásquez

Publication date: 19 May 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102000

zbMATH Keywords

Lorentzian manifoldslocal rigiditybifurcation instantsspacelike \(H\)-hypersurfacesspatially closed GRW spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Bifurcations in context of PDEs (35B32) Bifurcation theory for PDEs on manifolds (58J55)

Cites Work

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• Bifurcation and symmetry-breaking
• BIFURCATION OF CLIFFORD TORI IN BERGER 3-SPHERES
• On the Equivariant Implicit Function Theorem with Low Regularity and Applications to Geometric Variational Problems
• Equivariant Bifurcation in Geometric Variational Problems

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