49 citations · 430 across the 45 of their papers we have counts for
49 papers
Rigidity for spin fill-ins with scalar curvature bounded from below
Bernd Ammann, Samuel Lockman
We establish the rigidity statement in the equality case of the hyperspherical-radius inequality of Brendle, Tsiamis, and Wang for compact spin fill-ins with scalar curvature bound…
Are all Dirac-harmonic maps uncoupled?
Bernd Ammann
Dirac-harmonic maps consist of a map and a twisted spinor and they are defined as critical points of the super-symmetric energy function…
Dominant energy condition and spinors on Lorentzian manifolds
Bernd Ammann, Jonathan Glöckle
Let be a time- and space-oriented Lorentzian spin manifold, and let be a compact spacelike hypersurface of with induced Riemannian met…
A regularity result for the bound states of -body Schrödinger operators: Blow-ups and Lie manifolds
Bernd Ammann, Jérémy Mougel, Victor Nistor
We prove regularity estimates in weighted Sobolev spaces for the -eigenfunctions of Schrödinger type operators whose potentials have inverse square singularities and uniform r…
A comparison of the Georgescu and Vasy spaces associated to the N-body problems and applications
Bernd Ammann, Jeremy Mougel, Victor Nistor
We provide new insight into the analysis of N-body problems by studying a compactification of that is compatible with the analytic properties of the -bod…
Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors
Bernd Ammann, Klaus Kroencke, Olaf Müller
Lorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been…