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Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions

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arxiv 1811.04311 v2 pith:KJLCC2HM submitted 2018-11-10 math.DG

classification math.DG
keywords boundariescurvaturesmanifoldsscalarartificialconstructionscurvaturemean
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We present several problems and results relating the scalar curvatures of manifolds with mean curvatures of their boundaries

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Band Width Estimates and Rigidity of Manifolds with Negative Curvature

    math.DG 2026-06 unverdicted novelty 7.0 of 10

    Optimal Lipschitz and width lower bounds plus rigidity theorems for bands in 3-manifolds with negative Ricci curvature, including a sharp boundary area bound for certain noncompact manifolds with scalar curvature ≥ -6...

  2. Charged parallel spinors and applications to mass--charge inequalities

    math.DG 2026-07 conditional novelty 6.0 of 10

    Equality in the spin mass–charge inequality holds precisely when the manifold carries a charged parallel spinor and is isometric to extremal Reissner–Nordström (connected boundary or one cylindrical end).

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