L 2 -Cohomology and Index Theorem for the Bergman Metric

1983/11/01 by Harold Donnelly, Charles Fefferman · 5 citations
Mathematics · #Advanced Topics in Algebra #Atiyah–Singer index theorem #Bergman kernel #Cohomology #Discrete mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Index (typography) #Mathematics #Metric (unit) #Pure mathematics

paper · doi:10.2307/2006983

crossref issued 1983/11/01 · crossref published 1983/11/01 · crossref published-print 1983/11/01 · openalex publication_date 1983/11/01 · crossref created 2006/04/24 · crossref deposited 2018/05/09 · openalex created_date 2025/10/10 · crossref indexed 2026/05/14 · openalex updated_date 2026/06/11

Citations

• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Geometry of Manifolds
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains

Cited by

• Curvature and L^p Bergman spaces on complex submanifolds in \mathbb C^N
• Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for L²-harmonic forms
• Bounded holomorphic functions on negatively curved Kähler manifolds of dimension ≥ 3
• Some remarks on the Kobayashi--Fuks metric on strongly pseudoconvex domains
• Charles Fefferman [wikipedia]