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Characterizing harmonic immersions of surfaces with indefinite metric

Harmonic maps X:(S,h) → N from a 2-manifold S with indefinite metric h to a semi-Riemannian manifold N are characterized, assuming that the induced metric I is nondegenerate. Except in one very special case, the characterizations involve a canonically determined holomorphic quadratic differential on...

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Détails bibliographiques
Publié dans:Proc Natl Acad Sci U S A
Auteur principal: Milnor, Tilla Klotz
Format: Artigo
Langue:Inglês
Publié: National Academy of Sciences 1982
Sujets:
Accès en ligne:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC346142/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593177/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.79.6.2143
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