Affine Flows on 3-Manifolds

Affine Flows on 3-Manifolds
Title Affine Flows on 3-Manifolds PDF eBook
Author Shigenori Matsumoto
Publisher American Mathematical Soc.
Pages 106
Release 2003
Genre Mathematics
ISBN 0821832573

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Considers nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. This book obtains classification results for three types of flows.

Foliations and the Geometry of 3-Manifolds

Foliations and the Geometry of 3-Manifolds
Title Foliations and the Geometry of 3-Manifolds PDF eBook
Author Danny Calegari
Publisher Oxford University Press on Demand
Pages 378
Release 2007-05-17
Genre Mathematics
ISBN 0198570082

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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.

The Decomposition and Classification of Radiant Affine 3-Manifolds

The Decomposition and Classification of Radiant Affine 3-Manifolds
Title The Decomposition and Classification of Radiant Affine 3-Manifolds PDF eBook
Author Suhyoung Choi
Publisher American Mathematical Soc.
Pages 137
Release 2001
Genre Mathematics
ISBN 0821827049

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An affine manifold is a manifold with torsion-free flat affine connection - a geometric topologist would define it as a manifold with an atlas of charts to the affine space with affine transition functions. This title is an in-depth examination of the decomposition and classification of radiant affine 3-manifolds - affine manifolds of the type that have a holonomy group consisting of affine transformations fixing a common fixed point.

Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants
Title Representation Theory and Numerical AF-Invariants PDF eBook
Author Ola Bratteli
Publisher American Mathematical Soc.
Pages 202
Release 2004
Genre Mathematics
ISBN 0821834916

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Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces

Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces
Title Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces PDF eBook
Author Nicole Bopp
Publisher American Mathematical Soc.
Pages 250
Release 2005
Genre Mathematics
ISBN 0821836234

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Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.

The Role of the Spectrum in the Cyclic Behavior of Composition Operators

The Role of the Spectrum in the Cyclic Behavior of Composition Operators
Title The Role of the Spectrum in the Cyclic Behavior of Composition Operators PDF eBook
Author Eva A. Gallardo-Gutieŕrez
Publisher American Mathematical Soc.
Pages 98
Release 2004
Genre Mathematics
ISBN 0821834320

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Introduction and preliminaries Linear fractional maps with an interior fixed point Non elliptic automorphisms The parabolic non automorphism Supercyclic linear fractional composition operators Endnotes Bibliography.

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups
Title The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups PDF eBook
Author Martin W. Liebeck
Publisher American Mathematical Soc.
Pages 242
Release 2004
Genre Mathematics
ISBN 0821834827

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Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.