Open AccessL 2 Cohomology of the Bergman metric
Author(s) -
Harold Donnelly,
Charles Fefferman
Publication year - 1983
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.80.10.3136
Subject(s) - metric (unit) , mathematics , cohomology , pure mathematics , bergman kernel , harmonic , degree (music) , mathematical analysis , physics , quantum mechanics , operations management , acoustics , economics
TheL 2 cohomology of the Bergman metric is infinite dimensional in the middle degree and vanishes for all other degrees. Asymptotic expansions are given for the Schwartz kernels of the corresponding projections onto harmonic forms.