1 citations · 1 across the 2 of their papers we have counts for
4 papers
A splitting theorem for scalar curvature
Otis Chodosh, Michael Eichmair, Vlad Moraru
We show that a Riemannian -manifold with non-negative scalar curvature is flat if it contains an area-minimizing cylinder. This scalar-curvature analogue of the classical splitt…
Characterization of large isoperimetric regions in asymptotically hyperbolic initial data
Otis Chodosh, Michael Eichmair, Yuguang Shi +1
Let be a complete Riemannian -manifold asymptotic to Schwarzschild-anti-deSitter and with scalar curvature . Building on work of A.~Neves and G.~Tian and of…
Deformation of Scalar Curvature and Volume
Justin Corvino, Michael Eichmair, Pengzi Miao
The stationary points of the total scalar curvature functional on the space of unit volume metrics on a given closed manifold are known to be precisely the Einstein metrics. One ma…
The size of isoperimetric surfaces in 3-manifolds and a rigidity result for the upper hemisphere
Michael Eichmair
We characterize the standard as the closed Ricci-positive 3-manifold with scalar curvature at least 6 having isoperimetric surfaces of largest area: . As a corol…