Foliations on Riemannian Manifolds

A first approximation to the idea of a foliation is a dynamical system, and the resulting decomposition of a domain by its trajectories. This is an idea that dates back to the beginning of the theory of differential equations, i.e. the seventeenth century

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J. Ewing F. W. Gehring P.R. Halmos

Universitext Editors: J. Ewing, F.W. Gehring, and P.R. Halmos

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Philippe Tondeur

Foliations on Riemannian Manifolds

Springer-Verlag New York Berlin Heidelberg London Paris Tokyo

Philippe Tandeur Department of Mathematics University of Illinois Urbana, IL 61801, USA

With 7 Illustrations.

Mathematics Subject Classification (1980): 53C 12

Library of Congress Cataloging-in-Publication Data Tondeur. Philippe. Foliations on Riemannian manifolds. (Universitext) Bibliography: p. Includes indexes. I. Foliations (Mathematics) 2. Riemannian manifolds. l. Title. 516.3'6 88-2011 QA613.62.T64 1988 © 1988 by Springer-Verlag New York Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag, 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc. in this publica