The Secret Hyperbolic Life of Positive Scalar Curvature
Differential Geometry
2022-04-29 v2
Abstract
This survey introduces to the hyperbolic unfolding correspondence that links the geometric analysis of minimal hypersurfaces with that of Gromov hyperbolic spaces. Problems caused from hypersurface singularities oftentimes become solvable on associated Gromov hyperbolic spaces. Applied to scalar curvature geometry this yields smoothing schemes that eliminate such singularities.
Keywords
Cite
@article{arxiv.2203.16403,
title = {The Secret Hyperbolic Life of Positive Scalar Curvature},
author = {Joachim Lohkamp},
journal= {arXiv preprint arXiv:2203.16403},
year = {2022}
}