Author: Gilbert Hector
Publisher: Springer-Verlag
ISBN: 3322984826
Category : Science
Languages : de
Pages : 246
Book Description
Introduction to the Geometry of Foliations, Part A
Author: Gilbert Hector
Publisher: Springer-Verlag
ISBN: 3322984826
Category : Science
Languages : de
Pages : 246
Book Description
Publisher: Springer-Verlag
ISBN: 3322984826
Category : Science
Languages : de
Pages : 246
Book Description
Introduction to the Geometry of Foliations
Author: Gilbert Hector
Publisher:
ISBN: 9783322901163
Category :
Languages : en
Pages : 252
Book Description
Publisher:
ISBN: 9783322901163
Category :
Languages : en
Pages : 252
Book Description
Introduction to the Geometry of Foliations, Part A
Author: Gilbert Hector
Publisher: Springer Science & Business Media
ISBN: 3322901157
Category : Mathematics
Languages : en
Pages : 247
Book Description
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
Publisher: Springer Science & Business Media
ISBN: 3322901157
Category : Mathematics
Languages : en
Pages : 247
Book Description
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
Introduction to the Geometry of Foliations, Part B
Author: Gilbert Hector
Publisher: Springer Science & Business Media
ISBN: 3322901610
Category : Technology & Engineering
Languages : en
Pages : 309
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Publisher: Springer Science & Business Media
ISBN: 3322901610
Category : Technology & Engineering
Languages : en
Pages : 309
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Geometry of Foliations
Author: Philippe Tondeur
Publisher: Springer Science & Business Media
ISBN: 9783764357412
Category : Gardening
Languages : en
Pages : 330
Book Description
Surveys research over the past few years at a level accessible to graduate students and researchers with a background in differential and Riemannian geometry. Among the topics are foliations of codimension one, holonomy, Lie foliations, basic forms, mean curvature, the Hodge theory for the transversal Laplacian, applications of the heat equation method to Riemannian foliations, the spectral theory, Connes' perspective of foliations as examples of non- commutative spaces, and infinite-dimensional examples. The bibliographic appendices list books and surveys on particular aspects of foliations, proceedings of conferences and symposia, all papers on the subject up to 1995, and the numbers of papers published on the subject during the years 1990-95. Annotation copyrighted by Book News, Inc., Portland, OR
Publisher: Springer Science & Business Media
ISBN: 9783764357412
Category : Gardening
Languages : en
Pages : 330
Book Description
Surveys research over the past few years at a level accessible to graduate students and researchers with a background in differential and Riemannian geometry. Among the topics are foliations of codimension one, holonomy, Lie foliations, basic forms, mean curvature, the Hodge theory for the transversal Laplacian, applications of the heat equation method to Riemannian foliations, the spectral theory, Connes' perspective of foliations as examples of non- commutative spaces, and infinite-dimensional examples. The bibliographic appendices list books and surveys on particular aspects of foliations, proceedings of conferences and symposia, all papers on the subject up to 1995, and the numbers of papers published on the subject during the years 1990-95. Annotation copyrighted by Book News, Inc., Portland, OR
Introduction to the Geometry of Foliations, Part B
Author: Gilbert Hector
Publisher: Vieweg+Teubner Verlag
ISBN: 9783528185688
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Publisher: Vieweg+Teubner Verlag
ISBN: 9783528185688
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Introduction to the Geometry of Foliations
Author: Gilbert Hector
Publisher:
ISBN:
Category : Differential topology
Languages : en
Pages : 252
Book Description
Publisher:
ISBN:
Category : Differential topology
Languages : en
Pages : 252
Book Description
Introduction to the Geometry of Foliations
Foliations and the Geometry of 3-Manifolds
Author: Danny Calegari
Publisher: Oxford University Press on Demand
ISBN: 0198570082
Category : Mathematics
Languages : en
Pages : 378
Book Description
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Publisher: Oxford University Press on Demand
ISBN: 0198570082
Category : Mathematics
Languages : en
Pages : 378
Book Description
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Introduction to the Geometry of Foliations, Part B
Author: Gilbert Hector
Publisher: Vieweg+Teubner Verlag
ISBN: 9783528185688
Category : Technology & Engineering
Languages : en
Pages : 298
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)
Publisher: Vieweg+Teubner Verlag
ISBN: 9783528185688
Category : Technology & Engineering
Languages : en
Pages : 298
Book Description
"The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)