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