Olaf L. Müller

activity

20152019

collaborators

4 papers

math.DG2019

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…

math.DG2018

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…

math.DG2016

Riemannian geometry of the space of volume preserving immersions

Martin Bauer, Peter Michor, Olaf Müller

Given a compact manifold $M$ and a Riemannian manifold $N$ of bounded geometry, we consider the manifold $Imm (M, N)$ of immersions from $M$ to $N$ and its subset ${\rm Imm}_μ…

math.DG2015

Cheeger-Gromov convergence in a conformal setting

Boris Botvinnik, Olaf Müller

For a sequence ${(M_{i}, g_{i}, x_{i})}$ of pointed Riemannian manifolds with boundary, the sequence ${(M_{i}, g ~_{i}, x_{i})}$ is its conformal satellite if the metric $g ~_{i}$ is…