53 citations · 135 across the 23 of their papers we have counts for
4 papers · 1 filter
Localizing solutions of the Einstein constraint equations
Alessandro Carlotto, Richard Schoen
We perform an optimal localization of asymptotically flat initial data sets and construct data that have positive ADM mass but are exactly trivial outside a cone of arbitrarily sma…
Rigidity of stable marginally outer trapped surfaces in initial data sets
Alessandro Carlotto
In this article we investigate the restrictions imposed by the dominant energy condition (DEC) on the topology and conformal type of \textsl{possibly non-compact} marginally outer-…
Rigidity of stable minimal hypersurfaces in asymptotically flat spaces
Alessandro Carlotto
We prove that if an asymptotically Schwarzschildean 3-manifold (M,g) contains a properly embedded stable minimal surface, then it is isometric to the Euclidean space. This implies,…
Slowly converging Yamabe flows
Alessandro Carlotto, Otis Chodosh, Yanir A. Rubinstein
We characterize the rate of convergence of a converging volume-normalized Yamabe flow in terms of Morse theoretic properties of the limiting metric. If the limiting metric is an in…