From the 1 of 5 linked papers with an AI index.
5 papers
Drawstrings and flexibility in the Geroch conjecture
Demetre Kazaras, Kai Xu
The paper constructs warped‑product 3‑manifolds with almost nonnegative scalar curvature that converge to pulled‑string spaces, providing a counterexample to a stability conjecture…
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…
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…
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…