On the Scalar Curvature of 4-Manifolds
Differential Geometry
2021-12-22 v2 Geometric Topology
Abstract
Dimension four provides a peculiarly idiosyncratic setting for the interplay between scalar curvature and differential topology. Here we will explain some of the peculiarities of the four-dimensional realm via a careful discussion of the Yamabe invariant (or sigma constant). In the process, we will also prove some new results, and point out open problems that continue to represent key challenges in the subject.
Keywords
Cite
@article{arxiv.2105.10785,
title = {On the Scalar Curvature of 4-Manifolds},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:2105.10785},
year = {2021}
}
Comments
56 pages, PDFLaTeX, 3 figures