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).
Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We present several problems and results relating the scalar curvatures of manifolds with mean curvatures of their boundaries
fields
math.DG 2years
2026 2representative citing papers
Establishes new Lipschitz and width lower bounds plus rigidity theorems for bands in 3-manifolds with negative Ricci bounds via μ-bubbles, including a sharp boundary-area estimate for certain noncompact manifolds with scalar curvature ≥ −6.
citing papers explorer
-
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).
-
Band Width Estimates and Rigidity of Manifolds with Negative Curvature
Establishes new Lipschitz and width lower bounds plus rigidity theorems for bands in 3-manifolds with negative Ricci bounds via μ-bubbles, including a sharp boundary-area estimate for certain noncompact manifolds with scalar curvature ≥ −6.