Charged Hawking mass and local rigidity of three-manifolds

DOI10.1007/s12220-022-01070-3OpenAlexW4307646999MaRDI QIDQ2091077

Alexandre B. Lima, Paulo Alexandre Araújo Sousa

Publication date: 31 October 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01070-3

zbMATH Keywords

minimal surfacescalar curvaturerigidity of three-manifoldscharged Hawking mass

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Einstein-Maxwell equations (83C22)

Related Items (1)

A local rigidity theorem for minimal two-spheres in charged time-symmetric initial data set

Cites Work

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• Hawking mass and local rigidity of minimal two-spheres in three-manifolds
• Rigidity of area-minimizing hyperbolic surfaces in three-manifolds
• Rigidity of area-minimizing two-spheres in three-manifolds
• \(3+1\) formalism in general relativity. Bases of numerical relativity.
• Hawking mass and local rigidity of minimal surfaces in three-manifolds
• Splitting of 3-manifolds and rigidity of area-minimising surfaces
• A Penrose type inequality for graphs over Reissner-Nordström-anti-deSitter manifold
• Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature

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