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Riemannian foliations with parallel curvature

Published online by Cambridge University Press:  22 January 2016

Robert A. Blumenthal
Robert A. Blumenthal*
Affiliation:
Department of Mathematics, Saint Louis University, St. Louis, Missouri 63103
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Let M be a smooth compact manifold and let be a smooth codimension q Riemannian foliation of M. Let T(M) be the tangent bundle of M and let E ⊂ T(M) be the subbundle tangent to . We may regard the normal bundle Q = T(M)/E of as a subbundle of T(M) satisfying T(M) = E ⊕ Q. Let g be a smooth Riemannian metric on Q invariant under the natural parallelism along the leaves of .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 145 - 153
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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