73 citations · 117 across the 16 of their papers we have counts for
17 papers
The Secret Hyperbolic Life of Positive Scalar Curvature
Joachim Lohkamp
This survey introduces to the hyperbolic unfolding correspondence that links the geometric analysis of minimal hypersurfaces with that of Gromov hyperbolic spaces. Problems caused…
Scalar Curvature Splittings II: Removal of Singularities
Joachim Lohkamp
In Part I of this paper we have seen that any singular compact area minimizer in a positive scalar curvature manifold admits a conformal deformation to some minimal factor geometry…
Potential Theory on Gromov Hyperbolic Spaces
Matthias Kemper, Joachim Lohkamp
Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Here we extend Ancona's potential theory on Gromov hyperbolic manifolds and graphs…
Scalar Curvature Splittings I: Minimal Factors
Joachim Lohkamp
Scalar curvature constraints can be studied by means of splitting procedures. The success of this strategy depends on the control we can get on its splitting factors. We introduce…
Contracting Maps and Scalar Curvature
Joachim Lohkamp
We explain how to derive largeness constraints in scalar curvature geometry using some basic splitting results and the potential theory on singular area minimizing hypersurfaces. T…
Minimal Smoothings of Area Minimizing Cones
Joachim Lohkamp
In this paper we show that every area minimizing cone C^{n-1} in R^n can be approximated by entirely smooth area minimizing hypersurfaces. This extensively uses hyperbolic unfoldin…