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Introduction to the Geometry of Foliations, Part A

Name: Introduction to the Geometry of Foliations, Part A
Brand: Springer Fachmedien Wiesbaden
SKU: 06803087
Price: 54.0 EUR
Availability: InStock
Author: Gilbert Hector
ISBN: 9783528185015

Gilbert Hector

Ulrich Hirsch

Език

Английски език

Книга С меки корици

Код Либристо: 06803087

Издателство Springer Fachmedien Wiesbaden, януари 1986

Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connec... Цялото описание

Код Либристо: 06803087

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54.00 €

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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. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied "regular curve families" on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl 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 tilis goal has been achieved.