Riemannian foliations admitting transversal conformal fields |
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Authors: | Min Joo Jung Seoung Dal Jung |
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Institution: | (1) Department of Mathematics, Cheju National University, Jeju, 690-756, Korea |
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Abstract: | Let be a closed, connected Riemannian manifold with a foliation of codimension q and a bundle-like metric g
M
. We study the relationship between several infinitesimal automorphisms. Moreover under the some curvature condition, if M admits a transversal conformal field, then is transversally isometric to the action of a finite subgroup of O(q) acting on the q-sphere of constant curvature.
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Keywords: | Infinitesimal automorphisms Generalized Lichnerowicz-Obata theorem |
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