9 citations · 9 across the 2 of their papers we have counts for
9 papers · 1 filter
Stability of metric measure spaces with integral Ricci curvature bounds
Christian Ketterer
In this article we study stability and compactness w.r.t. measured Gromov-Hausdorff convergence of smooth metric measure spaces with integral Ricci curvature bounds. More precisely…
On gluing Alexandrov spaces with lower Ricci curvature bounds
Vitali Kapovitch, Christian Ketterer, Karl-Theodor Sturm
In this paper we prove that in the class of metric measure spaces with Alexandrov curvature bounded from below the Riemannian curvature-dimension condition with $K\in \m…
On the structure of RCD spaces with upper curvature bounds
Vitali Kapovitch, Martin Kell, Christian Ketterer
We develop a structure theory for RCD spaces with curvature bounded above in Alexandrov sense. In particular, we show that any such space is a topological manifold with boundary wh…
The Heintze-Karcher inequality for metric measure spaces
Christian Ketterer
In this note we prove the Heintze-Karcher inequality in the context of essentially non-branching metric measure spaces satisfying a lower Ricci curvature bound in the sense of Lott…
Stability of graphical tori with almost nonnegative scalar curvature
Armando J. Cabrera Pacheco, Christian Ketterer, Raquel Perales
By works of Schoen-Yau and Gromov-Lawson any Riemannian manifold with nonnegative scalar curvature and diffeomorphic to a torus is isometric to a flat torus. Gromov conjectured sub…
Weakly noncollapsed RCD spaces with upper curvature bounds
Vitali Kapovitch, Christian Ketterer
We show that if a space with has curvature bounded from above by in the sense of Alexandrov then .