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Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions
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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 3 Pith papers
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Band Width Estimates and Rigidity of Manifolds with Negative Curvature
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...
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Charged parallel spinors and applications to mass--charge inequalities
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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Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces
A nonzero-degree map into a parabolically convex hyperbolic domain, with scalar curvature and boundary curvature bounds, forces the domain to be hyperbolic and the boundary map to be an isometry.
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