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most citedRigidity of area-minimizing hyperbolic surfaces in three-manifolds

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math.DG2012

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

Davi Máximo, Ivaldo Nunes

We study rigidity of minimal two-spheres that locally maximize the Hawking mass on a Riemannian three-manifold with a positive lower bound on its scalar curvature. After assumi…