Global obstructions to conformally Einstein metrics in dimension six

zbMath1500.53062arXiv2207.00645MaRDI QIDQ2169891

Jeffrey S. Case

Publication date: 30 August 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00645

zbMATH Keywords

Einstein metricglobal conformal invariantglobal obstruction

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Einstein metrics on spheres
• Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces
• Invariant theory for conformal and CR geometry
• Four-manifolds without Einstein metrics
• Obstructions to conformally Einstein metrics in \(n\) dimensions
• On the curvatura integra in a Riemannian manifold
• The Decomposition of Global Conformal Invariants (AM-182)
• The Ambient Metric (AM-178)
• The Yamabe problem
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Exceptional Invariants in the Parabolic Invariant Theory of Conformal Geometry
• Sharp Inequalities, the Functional Determinant, and the Complementary Series
• K‐Stability and Kähler‐Einstein Metrics
• Conformally variational Riemannian invariants
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
• Invariant theory and calculus for conformal geometries
• Compact four-dimensional Einstein manifolds