Last edited by Kazizshura

Saturday, July 25, 2020 | History

5 edition of **Geometry Theory of Foliations** found in the catalog.

- 199 Want to read
- 13 Currently reading

Published
**January 1, 1984**
by Birkhäuser Boston
.

Written in English

- Geometry,
- Topology,
- Science/Mathematics,
- Geometry - General,
- Differential Geometry,
- Science,
- Mathematics,
- Geometry, Differential,
- History,
- Mathematics / Geometry / General,
- Science-History,
- Earth Sciences - General,
- Foliations (Mathematics)

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 220 |

ID Numbers | |

Open Library | OL8074269M |

ISBN 10 | 0817631399 |

ISBN 10 | 9780817631390 |

Description: Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City . Hermitian geometry and the Levi-Civita connection in Riemannian geometry. Chapter 3 is dedicated to Levi foliations and their holomorphic extendibility. We give a proof of a beautiful result referred to as Rea's theorem.

The theory of holomorphic foliations played an important in major advances in complex algebraic geometry in the last few decades. It was key to the proof of the abundance conjecture in dimension three and to the proof of Green-Griffiths conjecture for surfaces of positive Segre class. From the point of view of someone interested in geometry, foliations appear naturally in many ways. The most basic way is when you consider the level sets of a function. If the function is a submersion you get a non-singular foliation, but this is rare.

The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City Brand: Springer International Publishing.

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report on the proceedings of the Conference.

report on the proceedings of the Conference.

Intuitively, a foliation corresponds to a decomposition of a manifold into a union of connected, disjoint submanifolds of the same dimension, called leaves, which pile up locally like pages of a book. The theory of foliations, as it is known, began with the work of C.

Ehresmann and G. Reeb, in the 's; however, as Reeb has himself observed, already in the last century P. 4/5(1). Buy Geometry Theory of Foliations on FREE SHIPPING on qualified orders Geometry Theory of Foliations: Cesar Camacho, Neto Alcides Lins, Sue F.

Goodman: : Books Skip to main content. 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 : Birkhäuser Basel. 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. Open Library is an open, editable library catalog, building towards a web page for every book ever published.

Geometric theory of foliations by César Camacho, César Camacho, Alcides Lins Neto; 2 editions; First published in ; Subjects: Differential Geometry, Foliations (Mathematics), Blätterung, Differentiaalmeetkunde, Feuilletages. Besides students and researchers Geometry Theory of Foliations book Foliation Theory, this book will be interesting for mathematicians interested in the applications to foliations of subjects like Topology of Manifolds, Differential Geometry, Dynamics, Cohomology or Global Analysis.

The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic cturer: Springer.

Intuitively, a foliation corresponds to a decomposition of a manifold into a union of connected, disjoint submanifolds of the same dimension, called leaves, which pile up locally like pages of a book. The theory of foliations, as it is known, began with the work of C. Ehresmann and G. A central idea is that of a universal circle for taut foliations and other dynamical objects.

The idea of a universal circle is due to Thurston, although the development here differs in several technical points from Thurston's approach. This book was published in May by Oxford University Press in their Mathematical Monograph series.

The pseudo-Anosov theory of taut foliations. The purpose of this book is to give an exposition of the so-called “pseudo- Anosov”theory offoliations of theorygeneralizesThurston’s theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

: Geometry, Dynamics and Topology of Foliations: A First Course (): Bruno Scardua, Carlos Arnoldo Morales Rojas: Books. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre : Hardcover.

FOLIATION GEOMETRY/TOPOLOGY PROBLEM SET 7. Marek Badura has more recently studied the problem of realizing various recursively de ned growth types as open complete manifolds, and as leaves of foliations [19, 20]. This work is in the spirit of Problemas he uses explicit constructions to realize the growth types.

Geometry of foliations Philippe Tondeur Monographs in Mathematics, Vol.ê90 Birkhäuser Verlag, Basel, Introduction to the Modern Theory of Dynamical Systems Anatole Katok and Boris Hasselblatt Encyclopedia of Mathematics and Its Applications.

Cambridge University Press, Cambridge, Print book: EnglishView all editions and formats Summary: This question was answered affirmatively by Reeb in his thesis, where he 3 presents an example of a foliation of S with the following characteristics: There exists one compact leaf homeomorphic to the two-dimensional torus, while the other leaves are homeomorphic to two-dimensional.

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 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.

Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter Spectral Geometry of Riemannian Foliations -- Foliations as Noncommutative Spaces -- Infinite-Dimensional Riemannian Foliations -- References on Riemannian Foliations -- App.

Books and Surveys on Particular Aspects of Foliations -- App. Proceedings of Conferences and Symposia devoted to Foliations -- App.

Bibliography on. The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraicBrand: Springer International Publishing.

The theory of foliations, as it is known, began with the work of C. Ehresmann and G. Reeb, in the 's; however, as Reeb has himself observed, already in the last century P. Painleve saw the necessity of creating a geometric theory (of foliations) in order to better understand the problems in the study of solutions of holomorphic differential.

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 .Singularities and Foliations.

Geometry, Topology and Applications BMMS 2/NBMS 3, Salvador, Brazil, Surveys Papers on Advances in Foliations and Singularity Theory: Topology Geometry and Applications.

Front Matter on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe.Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves.

This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry.