The Scalar Curvature of 4-Manifolds

Claude Lebrun

doi:10.1142/97898112732230006

The Scalar Curvature of 4-Manifolds

Claude Lebrun

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Dimension 4 provides a peculiarly idiosyncratic setting for the interplay between scalar curvature and differential topology. Here we will explain some of the peculiarities of the 4-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.

Original language	English
Title of host publication	Perspectives in Scalar Curvature, Volume 1-2
Publisher	World Scientific Publishing Co.
Pages	1:643-1:707
ISBN (Electronic)	9789811249365
ISBN (Print)	9789811249358
DOIs	https://doi.org/10.1142/97898112732230006
State	Published - Jan 1 2022

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The Scalar Curvature of 4-Manifolds

Abstract

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