Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Author: LeBrun, Claude
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211916
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces. Claude LeBrun. SIGMA 19 (2023), 027, 11 pages

The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein-Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the f...