6 citations · 8 across the 7 of their papers we have counts for
12 papers
The Positive Mass Theorem for Creased Initial Data
Demetre Kazaras, Marcus Khuri, Michael Lin
We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bar…
Proof of the Spacetime Penrose Inequality With Suboptimal Constant in the Asymptotically Flat and Asymptotically Hyperboloidal Regimes
Brian Allen, Edward Bryden, Demetre Kazaras +1
We establish mass lower bounds of Penrose-type in the setting of -dimensional initial data sets for the Einstein equations satisfying the dominant energy condition, which are ei…
Codimension 2 drawstrings with scalar curvature lower bounds
Demetre Kazaras, Kai Xu
We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are g…
Scalar curvature and volume entropy of hyperbolic 3-manifolds
Demetre Kazaras, Antoine Song, Kai Xu
We show that any closed hyperbolic 3-manifold M admits a Riemannian metric with scalar curvature at least -6, but with volume entropy strictly larger than 2. In particular, this co…
Drawstrings and flexibility in the Geroch conjecture
Demetre Kazaras, Kai Xu
In this paper, we observe new phenomena related to the structure of 3-manifolds satisfying lower scalar curvature bounds. We construct warped-product manifolds of almost nonnegativ…
Stability of the positive mass theorem and torus rigidity theorems under integral curvature bounds
Brian Allen, Edward Bryden, Demetre Kazaras
Work of D. Stern and Bray-Kazaras-Khuri-Stern provide differential-geometric identities which relate the scalar curvature of Riemannian 3-manifolds to global invariants in terms of…