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Transversal infinitesimal automorphisms of harmonic foliations on complete manifolds |
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| 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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