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Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds

A harmonic map f between two compact Kähler manifolds is shown to be either holomorphic or conjugate holomorphic under a suitable negativity condition on the curvature of the image manifold and a condition on the rank of df. As a consequence, a compact Kähler manifold of dimension ≥2 that is of the...

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Détails bibliographiques
Publié dans:Proc Natl Acad Sci U S A
Auteur principal: Siu, Yum-Tong
Format: Artigo
Langue:Inglês
Publié: National Academy of Sciences 1979
Sujets:
Accès en ligne:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC383545/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592647/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.76.5.2107
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