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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy: 1 (Aspects of Mathematics, 1) - Softcover
Synopsis
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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- PublisherVieweg+Teubner Verlag
- Publication date2012
- ISBN 10 3322984834
- ISBN 13 9783322984838
- BindingPaperback
- LanguageGerman
- Number of pages247
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Introduction to the Geometry of Foliations, Part A : Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy
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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1) (German Edition)
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Introduction to the Geometry of Foliations, Part A
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 236 pp. Deutsch. Seller Inventory # 9783322984838
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Introduction to the Geometry of Foliations, Part A : Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783322984838
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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1) (German Edition)
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Introduction to the Geometry of Foliations, Part A
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Introduction to the Geometry of Foliations, Part A
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Introduction to the Geometry of Foliations, Part A
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Taschenbuch. Condition: Neu. Neuware -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.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 252 pp. Deutsch. Seller Inventory # 9783322984838
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Introduction to the Geometry of Foliations, Part A
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