3 citations · 5 across the 4 of their papers we have counts for
7 papers
The Space of Dirac-Minimal Metrics is Connected in Dimensions 2 and 4
Bernd Ammann, Mattias Dahl
Let be a closed connected spin manifold. Index theory provides a topological lower bound on the dimension of the kernel of the Dirac operator which depends on the choice of Rie…
The Volume-Renormalized Mass from a Hamiltonian Perspective
Mattias Dahl, Klaus Kroencke, Stephen McCormick
We demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. I…
A volume-renormalized mass for asymptotically hyperbolic manifolds
Mattias Dahl, Klaus Kroencke, Stephen McCormick
We define a geometric quantity for asymptotically hyperbolic manifolds, which we call the volume-renormalized mass. It is essentially a linear combination of the ADM mass surface i…
Gravitational instantons with symmetry
Steffen Aksteiner, Lars Andersson, Mattias Dahl +2
Uniqueness results for asymptotically locally flat and asymptotically flat -symmetric gravitational instantons are proved using a divergence identity of the type used in uniqu…
Local and global scalar curvature rigidity of Einstein manifolds
Mattias Dahl, Klaus Kroencke
An Einstein manifold is called scalar curvature rigid if there are no compactly supported volume-preserving deformation of the metric which increase the scalar curvature. We give v…
Outermost apparent horizons diffeomorphic to unit normal bundles
Mattias Dahl, Eric Larsson
Given a submanifold of codimension at least three, we construct an asymptotically Euclidean Riemannian metric on with nonnegative scalar curva…