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Author: Wilhelmina Christina Claus
Publisher:
ISBN:
Category : Three-manifolds (Topology)
Languages : en
Pages : 200
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Book Description
Author: Wilhelmina Christina Claus
Publisher:
ISBN:
Category : Three-manifolds (Topology)
Languages : en
Pages : 200
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Book Description
Author: Mark William Brittenham
Publisher:
ISBN:
Category : Fiber spaces (Mathematics)
Languages : en
Pages : 200
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Book Description
Author: Lawrence Conlon
Publisher: World Scientific
ISBN: 9814489700
Category :
Languages : en
Pages : 462
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Book Description
This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.
Author: Pawe? Grzegorz Walczak
Publisher: World Scientific
ISBN: 9810247966
Category : Mathematics
Languages : en
Pages : 462
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Book Description
Contains surveys and research articles regarding different aspects of the theory of foliation.
Author: Philippe Tondeur
Publisher: Birkhäuser
ISBN: 3034889143
Category : Mathematics
Languages : en
Pages : 308
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Book Description
The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles.
Author: Mikhail Lyubich
Publisher: American Mathematical Soc.
ISBN: 0821819852
Category : Mathematics
Languages : en
Pages : 250
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Book Description
This volume is based on a conference held at SUNY, Stony Brook (NY). The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory. Although these areas have developed deep relations, each has developed distinct research fields with little interaction among practitioners. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, "Geodesic Laminations on Surfaces", and D. Gabai, "Three Lectures on Foliations and Laminations on 3-manifolds", which are based on minicourses that took place during the conference.
Author: Danny Calegari
Publisher: Oxford University Press on Demand
ISBN: 0198570082
Category : Mathematics
Languages : en
Pages : 378
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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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 414
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Book Description
Author: Yair N. Minsky
Publisher: Cambridge University Press
ISBN: 1139447211
Category : Mathematics
Languages : en
Pages : 399
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Book Description
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
Author: Cameron Gordon
Publisher: American Mathematical Soc.
ISBN: 0821851829
Category : Mathematics
Languages : en
Pages : 264
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Book Description
This volume contains the refereed proceedings of the conference.
