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Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds
Authors:Seiki Nishikawa  Philippe Tondeur
Institution:(1) Department of Mathematics Faculty of Science, Kyushu University, 812 Fukuoka, JAPAN;(2) Department of Mathematics, The Ohio State University, 231 West 18th Avenue, USA;(3) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, 61801 Urbana, Il, USA
Abstract:Summary In this paper we study infinitesimal automorphisms of finiteL 2-norm for harmonic Riemannian and Kähler foliations admitting a complete bundle-like metric. The results generalize facts established recently in the compact case.1980 Mathematics Subject Classification: Primary 57 R 30, Secondary 58 E 20.Work supported in part by a grant from the National Science Foundation.
Keywords:Harmonic foliation  infinitesimal automorphism  complete manifold
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