CR invariants of weight five in the Bergman kernel

DOI10.1006/aima.1998.1794zbMath0932.32005OpenAlexW2015127645MaRDI QIDQ1290942

Kengo Hirachi, Gen Komatsu

Publication date: 6 March 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e8e8c46fb9a3878231cc44dfcac466b5c0279ca7

zbMATH Keywords

asymptotic expansionSzegő kernel functioncomplex Monge-Ampère equationstrongly pseudoconvex domainWeyl invariant

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (max. 100)

\(Q\)-prime curvature on CR manifolds ⋮ Analytic continuation of weighted Bergman kernels ⋮ Forelli-Rudin construction and asymptotic expansion of Szegő kernel on Reinhardt domains ⋮ Integral Kähler invariants and the Bergman kernel asymptotics for line bundles ⋮ Toeplitz operators and weighted Bergman kernels

Cites Work

• Parabolic invariant theory in complex analysis
• Boundary behaviour of the complex Monge-Ampère equation
• Real hypersurfaces in complex manifolds
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Invariant theory for conformal and CR geometry
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Construction of boundary invariants and the logarithmic singularity of the Bergman kernel
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
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