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Hawking mass and local rigidity of minimal two-spheres in three-manifolds

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Publication:357224
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DOI10.4310/CAG.2013.v21.n2.a6zbMath1273.53053arXiv1206.5511MaRDI QIDQ357224

Ivaldo Nunes, Davi Maximo

Publication date: 30 July 2013

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5511

zbMATH Keywords

scalar curvatureGauss curvaturesliceRiemannian three-manifoldnormal graphHawking massde Sitter-Schwarzschild metrics


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) Relations of low-dimensional topology with graph theory (57M15)


Related Items

A local rigidity theorem for minimal two-spheres in charged time-symmetric initial data set, Deforming the scalar curvature of the de Sitter-Schwarzschild space, The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds, Effective versions of the positive mass theorem, Charged Hawking mass and local rigidity of three-manifolds, On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass



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