65 citations · 67 across the 5 of their papers we have counts for
8 papers
Small surfaces of Willmore type in Riemannian manifolds
T. Lamm, J. Metzger
In this paper we investigate the properties of small surfaces of Willmore type in Riemannian manifolds. By \emph{small} surfaces we mean topological spheres contained in a geodesic…
Foliations of asymptotically flat manifolds by surfaces of Willmore type
Tobias Lamm, Jan Metzger, Felix Schulze
The goal of this paper is to establish the existence of a foliation of the asymptotic region of an asymptotically flat manifold with nonzero mass by surfaces which are critical poi…
The time evolution of marginally trapped surfaces
Lars Andersson, Marc Mars, Jan Metzger +1
In previous work we have shown the existence of a dynamical horizon or marginally trapped tube (MOTT) containing a given strictly stable marginally outer trapped surface (MOTS). In…
Surfaces with maximal constant mean curvature
Jan Metzger
In this note we consider asymptotically flat manifolds with non-negative scalar curvature and an inner boundary which is an outermost minimal surface. We show that there exists an…
No mass drop for mean curvature flow of mean convex hypersurfaces
Jan Metzger, Felix Schulze
A possible evolution of a compact hypersurface in R^n by mean curvature past singularities is defined via the level set flow. In the case that the initial hypersurface has positive…
Curvature estimates for stable marginally trapped surfaces
Lars Andersson, Jan Metzger
We derive integral and sup-estimates for the curvature of stably marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapp…