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The Higher Dimensional Positive Mass Theorem II
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We derive the Space-Time Positive Mass theorem in arbitrary dimensions, without topological constraints. The main new tools are skin structures and surgeries on minimal and marginally outer trapped hypersurfaces.
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Cited by 3 Pith papers
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Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities
Proves Riemannian positive mass theorem for asymptotically flat L^∞ metrics with subcritical singular sets of Minkowski dimension less than n-3 + 2/n (rigidity for ≤ n-3 + 1/(n-1)), using density theorem, capacity est...
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Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces
On area-constrained critical surfaces of the Hawking functional, zero Hawking energy implies the enclosed region is flat or the reference space form, but the dynamical statement is conditional on a restrictive technic...
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Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds
The volume-renormalized mass of any orientable 3-manifold asymptotic to hyperbolic space with scalar curvature at least -6 and no spherical second homology classes is nonnegative, vanishing only for hyperbolic space.
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