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Introduction to the Geometry of Foliations, Part a (German, Paperback, 1981 ed.)
Loot Price: R1,674
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Introduction to the Geometry of Foliations, Part a (German, Paperback, 1981 ed.)
Series: Aspects of Mathematics, 1
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Total price: R1,694
Discovery Miles: 16 940
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Foliation theory grew out of the theory of dynamical systems on
manifolds and Ch. Ehresmann's connection theory on fibre bundles.
Pion er work was done between 1880 and 1940 by H. Poincare, I.
Bendixson, H. Kneser, H. Whitney, and W. Kaplan - to name a few -
who all studied "regular curve families" on surfaces, and later by
Ch. Ehresmann, G. Reeb, A. Haefliger and ot"ners between 1940 and
1960. Since then the subject has developed from a collection of a
few papers to a wide field of research. i owadays, one usually
distinguishes between two main branches of foliation theory, the
so-called quantitative theory (including homotopy theory and
characteristic classes) on the one hand, and the qualitative or
geometric theory on the other. The present volume is the first part
of a monograph on geometric aspects of foliations. Our intention
here is to present some fundamental concepts and results as well as
a great number of ideas and examples of various types. The
selection of material from only one branch of the theory is
conditioned not only by the authors' personal interest but also by
the wish to give a systematic and detailed treatment, including
complete proofs of all main results. We hope that this goal has
been achieved.
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