An open 4-manifold having no instanton

Masaki Tsukamoto

Research output: Contribution to journalArticlepeer-review


Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.

Original languageEnglish
Pages (from-to)251-286
Number of pages36
JournalAnnals of Global Analysis and Geometry
Issue number3
Publication statusPublished - Oct 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology


Dive into the research topics of 'An open 4-manifold having no instanton'. Together they form a unique fingerprint.

Cite this