A Burns-Epstein invariant for ACHE 4-manifolds

DOI10.1215/S0012-7094-04-12612-0zbMath1074.53037arXivmath/0111218OpenAlexW2086111330MaRDI QIDQ1769106

Marc Herzlich, Olivier Biquard

Publication date: 18 March 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111218

zbMATH Keywords

global invariantspseudoconvex CR manifoldschracteristic classesEinstein complex manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (15)

Embeddability of some strongly pseudoconvex CR manifolds ⋮ Volume renormalization for complete Einstein-Kähler metrics ⋮ A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds ⋮ Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics ⋮ Analytic torsions on contact manifolds ⋮ Scattering and inverse scattering on ACH manifolds ⋮ On the Burns-Epstein invariants of spherical CR 3-manifolds ⋮ Analyse sur un demi-espace hyperbolique et poly-homogénéité locale ⋮ Asymptotics of ACH-Einstein metrics ⋮ Canonical almost complex structures on ACH Einstein manifolds ⋮ Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆ ⋮ Wormholes in ACH Einstein manifolds ⋮ Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds ⋮ CR-HARMONIC MAPS ⋮ Einstein rigidity of the complex hyperbolic plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds
• Characteristic numbers of bounded domains
• The Burns-Epstein invariant and deformation of CR structures
• A global invariant for three-dimensional CR-manifolds
• Stability and isolation phenomena for Yang-Mills fields
• Boundary behaviour of the complex Monge-Ampère equation
• Resolvent of the Laplacian on strictly pseudoconvex domains
• Real hypersurfaces in complex manifolds
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Contact geometry and CR structures on \(S^ 3\)
• Einstein rigidity of the complex hyperbolic plane
• Ricci curvature in the neighborhood of rank-one symmetric spaces.
• CR-structures on three dimensional circle bundles
• Einstein metrics and complex singularities
• Autodual Einstein versus Kähler-Einstein
• On Three-Dimensional Cauchy-Riemann Manifolds
• Spectral asymmetry and Riemannian geometry. III
• Rigidité dEinstein du plan hyperbolique complexe
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• \(L^2\) curvature and volume renormalization of AHE metrics on 4-manifolds

This page was built for publication: A Burns-Epstein invariant for ACHE 4-manifolds