Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds (Q1094712)

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scientific article; zbMATH DE number 4026384
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Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds
scientific article; zbMATH DE number 4026384

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    Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds (English)
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    1989
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    We discuss infinitesimal automorphisms of finite \(L^ 2\)-norm for harmonic Riemannian and Kähler foliations admitting a complete bundle- like metric. The results obtained generalize facts established recently for the compact case. The method allowing to carry out the typical integration by parts arguments is the use of a family of cut-off functions whose supports exhaust M.
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    infinitesimal automorphisms
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    harmonic Riemannian and Kähler foliations
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