Einstein metrics and exotic smooth structures
type: Item
instance of: scholarly article
title: Einstein metrics and exotic smooth structures
zbMATH Open document ID: 1251.53027
author: Masashi Ishida
published in: Pacific Journal of Mathematics
publication date: 2012-09-19T00:00:00Z
full work available at URL: p05.xhtml
review text: It is proved that there are 4--manifolds with infinitely many distinct structures for which Einstein metrics do not exist. Moreover, these manifolds satisfy the strict Hitchin-Thorpe inequality or the strict Miyaoka-Yau-LeBrun inequality. The result holds for both spin and nonspin cases.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 57R57
Mathematics Subject Classification ID: 57R55
zbMATH DE Number: 6083923
zbMATH Keywords: 4--manifold
zbMATH Keywords: Einstein metrics
zbMATH Keywords: special monopole classes
zbMATH Keywords: Seiberg-Witten invariants
MaRDI profile type: Publication
OpenAlex ID: W2083207982
Wikidata QID: Q126172278
DOI: 10.2140/PJM.2012.258.327
description: scientific article; zbMATH DE number 6083923