Introduction to the Geometry of Foliations, Part B Foliations of Cod
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I ntroduction to the Geometry 01 Foliations, Part B
Aspects of Mathematics Aspekte der Mathematik Editor: Klas Diederich
Vol. E1 :
G. Hector/U. Hirsch, Introduction to the Geometry of Foliations, Part A
Vol. E2:
M. Knebusch/M. Koister, Wittrings
Vol. E3:
G. Hector/U. Hirsch, Introduction to the Geometry of Foliations, Part B
Vol. E4:
M. Laska, Elliptic Curves over Number Fields with Prescribed Reduction Type
Vol. E5:
P. Stiller, Automorphic Forms and the Picard Number of an Elliptic Surface
Vol. E6:
G. Faltings/G. Wüstholz et al., Rational Points (A Publication of the Max-Planck-Institut für Mathematik, Bonn)
Vol. E7:
W. StoII, Value Distribution Theory for Meromorphic Maps
Vol. E8:
W. von Wahl, The Equations of Navier-Stokes and Abstract Parabolic Equations
Vol. E9:
A. Howard, P.-M. Wong (Eds.), Contributions to Several Complex Variables
Vol. E10: A. J. Tromba, Seminar on New Results in Nonlinear Partial Differential Equations (A Publication of the Max-Planck-Institut für Mathematik, Bonn)
Vol. E11: M. Yoshida, Fuchsian Differential Equations (A Publication of the Max-Planck-Institut für Mathematik, Bonn)
Band D1:
H. Kraft, Geometrische Methoden in der Invariantentheorie
Band D2, Band D3:
J. Bingener, Lokale Modulräume in der analytischen Geometrie Bd. 1 und 2
Gilbert Hector Ulrich Hirsch
Introduction to the Geometry of Foliations, Part B Foliations of Codimension One
Second Edition
Friedr. Vieweg & Sohn
Braunschweig/Wiesbaden
CIP-Kurztitelaufnahme der Deutschen Bibliothek Hector, Gilbert: I ntroduction to the geometry of fol iations / Gilbert Hector; Ulrich Hirsch. - Braunschweig; Wiesbaden: Vieweg NE: Hirsch, Ulrich: Pt. B. Foliations of codimension one. - 2. ed. 1987 (Aspects of mathematics: E; Vol. 3) NE: Aspects of mathematics / E
Dr. Gi/bert Hector is Professor of Mathematics at the Universite des Sciences et Techniques de Lilie I, France. Dr. Ulrich Hirsch is Professor of Mathematics at the University of Bielefeld, Germany.
AMS Subject Classification: 57 R 30 1 st edition 1983 2 nd edition 1987
All rights reserved © Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1987
No part of this pUblication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior permission of the copyright holder.
Produced by Lengericher Handelsdruckerei, Lengerich
ISSN
0179-2156
ISBN 978-3-528-18568-8 ISBN 978-3-322-90161-3 (eBook) DOI 10.1007/978-3-322-90161-3
P R E F ACE
Part B of our Introduction to the Geometry of Foliations is a direct continuation of Part A (chapters 1- 111) which has been published in the Aspects of Mathematics in 1981. In chapter I the study of foliations was carried out for surfaces. The object of Part B is to extend this to foliations of codimansion one on manifolds of arbitrary dimension. It will turn out that many of the phenomena we have observed on surfaces depend only on the codimension and thus have an analogue in codimension-one foliat
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