
Softcover ISBN: | 978-0-8218-0776-7 |
Product Code: | ULECT/13 |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $55.20 |
eBook ISBN: | 978-1-4704-2162-5 |
Product Code: | ULECT/13.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $52.00 |
Softcover ISBN: | 978-0-8218-0776-7 |
eBook: ISBN: | 978-1-4704-2162-5 |
Product Code: | ULECT/13.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $107.20 $81.20 |

Softcover ISBN: | 978-0-8218-0776-7 |
Product Code: | ULECT/13 |
List Price: | $69.00 |
MAA Member Price: | $62.10 |
AMS Member Price: | $55.20 |
eBook ISBN: | 978-1-4704-2162-5 |
Product Code: | ULECT/13.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $52.00 |
Softcover ISBN: | 978-0-8218-0776-7 |
eBook ISBN: | 978-1-4704-2162-5 |
Product Code: | ULECT/13.B |
List Price: | $134.00 $101.50 |
MAA Member Price: | $120.60 $91.35 |
AMS Member Price: | $107.20 $81.20 |
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Book DetailsUniversity Lecture SeriesVolume: 13; 1998; 66 ppMSC: Primary 53; 57; Secondary 58
This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional “brother” of symplectic geometry.
However, both theories have developed a number of striking similarities. Confoliations—which interpolate between contact structures and codimension-one foliations—should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.
Features:
- A unified approach to the topology of codimension-one foliations and contact geometry.
- Insight on the geometric nature of integrability.
- New results, in particular on the perturbation of confoliations into contact structures.
ReadershipGraduate students and research mathematicians working in differential and symplectic geometry, low-dimensional topology, the theory of foliations and several complex variables; some physicists and engineers.
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Table of Contents
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Chapters
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Chapter 1. Geometric nature of integrability
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Chapter 2. Perturbation of confoliations into contact structures
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Chapter 3. Taut vs. tight
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Additional Material
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Reviews
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Go out and buy this book ...
Bulletin of the London Mathematical Society -
As this monograph shows and, one can expect future research will confirm, this unifying approach to the hitherto seemingly independent theories of foliations and contact structures is extremely fruitful ... a veritable cornucopia of ideas and surprising links between contact geometry and the theory of foliations.
Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional “brother” of symplectic geometry.
However, both theories have developed a number of striking similarities. Confoliations—which interpolate between contact structures and codimension-one foliations—should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.
Features:
- A unified approach to the topology of codimension-one foliations and contact geometry.
- Insight on the geometric nature of integrability.
- New results, in particular on the perturbation of confoliations into contact structures.
Graduate students and research mathematicians working in differential and symplectic geometry, low-dimensional topology, the theory of foliations and several complex variables; some physicists and engineers.
-
Chapters
-
Chapter 1. Geometric nature of integrability
-
Chapter 2. Perturbation of confoliations into contact structures
-
Chapter 3. Taut vs. tight
-
Go out and buy this book ...
Bulletin of the London Mathematical Society -
As this monograph shows and, one can expect future research will confirm, this unifying approach to the hitherto seemingly independent theories of foliations and contact structures is extremely fruitful ... a veritable cornucopia of ideas and surprising links between contact geometry and the theory of foliations.
Mathematical Reviews