10 citations · 14 across the 4 of their papers we have counts for
5 papers
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…
Cheeger-Gromov compactness for manifolds with boundary
Olaf Müller
We prove Cheeger-Gromov convergence for a subsequence of a given sequence of manifolds-with-boundary of bounded geometry. The method of the proof is to reduce, via height functions…
Riemannian geometry of the space of volume preserving immersions
Martin Bauer, Peter Michor, Olaf Müller
Given a compact manifold and a Riemannian manifold of bounded geometry, we consider the manifold of immersions from to and its subset ${\rm Imm}_μ…
Cheeger-Gromov convergence in a conformal setting
Boris Botvinnik, Olaf Müller
For a sequence of pointed Riemannian manifolds with boundary, the sequence is its conformal satellite if the metric is…
Applying the index theorem to non-smooth operators
Olaf Müller
We give a simple way to extend index-theoretical statements from partial differential operators with smooth coefficients to operators with coefficients of finite Sobolev order.