The Weyl functional on 4-manifolds of positive Yamabe invariant

DOI10.1007/s10455-021-09798-xzbMath1489.53054arXiv2108.03808OpenAlexW3196181398MaRDI QIDQ824391

Chanyoung Sung

Publication date: 15 December 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03808

zbMATH Keywords

orbifoldself-dualYamabe constantWeyl curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Variational problems in infinite-dimensional spaces (58E99) Topology and geometry of orbifolds (57R18) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quotient singularities, eta invariants, and self-dual metrics
• Einstein metrics and Yamabe invariants of weighted projective spaces
• Computations of the orbifold Yamabe invariant
• Geometric structures on 2-orbifolds. Exploration of discrete symmetry
• Weyl curvature, del Pezzo surfaces, and almost-Kähler geometry
• Monopole metrics and the orbifold Yamabe problem
• The Gauss-Bonnet theorem for \(V\)-manifolds
• Equivariant Yamabe problem and Hebey-Vaugon conjecture
• On a conformally invariant functional of the space of Riemannian metrics
• Scalar curvature of a metric with unit volume
• Counter-examples to the generalized positive action conjecture
• The classification of simply connected manifolds of positive scalar curvature
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• Kodaira dimension and the Yamabe problem
• On Einstein manifolds of positive sectional curvature
• The Weyl functional near the Yamabe invariant
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Four-manifolds with \(\delta W^+=0\) and Einstein constants of the sphere.
• Four-manifolds with positive Yamabe constant
• The modified Yamabe problem and geometry of modified scalar curvatures
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• A conformally invariant sphere theorem in four dimensions
• Weyl curvature and the Euler characteristic in dimension four
• Surgery and equivariant Yamabe invariant
• Bochner-Kähler metrics
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• The Yamabe problem
• Spectral asymmetry and Riemannian geometry. II
• Optimal Integral Pinching Results
• An Index Theorem on Anti-Self-Dual Orbifolds
• On the faithful representation of infinite groups by matrices
• The Decomposition Theorem for V-Manifolds
• Orbifold spectral theory

This page was built for publication: The Weyl functional on 4-manifolds of positive Yamabe invariant