Differential Geometry of Singular Spaces and Reduction of Symmetry
Title | Differential Geometry of Singular Spaces and Reduction of Symmetry PDF eBook |
Author | Jędrzej Śniatycki |
Publisher | Cambridge University Press |
Pages | 249 |
Release | 2013-06-13 |
Genre | Mathematics |
ISBN | 1107022711 |
A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.
Differential Geometry of Singular Spaces and Reduction of Symmetry
Title | Differential Geometry of Singular Spaces and Reduction of Symmetry PDF eBook |
Author | Jędrzej Śniatycki |
Publisher | |
Pages | 250 |
Release | 2014-05-14 |
Genre | Function spaces |
ISBN | 9781107055599 |
A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.
Differential Geometry of Singular Spaces and Reduction of Symmetry
Title | Differential Geometry of Singular Spaces and Reduction of Symmetry PDF eBook |
Author | J. Śniatycki |
Publisher | Cambridge University Press |
Pages | 249 |
Release | 2013-06-13 |
Genre | Mathematics |
ISBN | 1107067383 |
In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.
Differential Geometry and Symmetric Spaces
Title | Differential Geometry and Symmetric Spaces PDF eBook |
Author | |
Publisher | Academic Press |
Pages | 501 |
Release | 1962-01-01 |
Genre | Mathematics |
ISBN | 0080873243 |
Differential Geometry and Symmetric Spaces
Reduction Theory and Arithmetic Groups
Title | Reduction Theory and Arithmetic Groups PDF eBook |
Author | Joachim Schwermer |
Publisher | Cambridge University Press |
Pages | 376 |
Release | 2022-12-15 |
Genre | Mathematics |
ISBN | 1108935079 |
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students.
Singular Intersection Homology
Title | Singular Intersection Homology PDF eBook |
Author | Greg Friedman |
Publisher | Cambridge University Press |
Pages | 823 |
Release | 2020-09-24 |
Genre | Mathematics |
ISBN | 1107150744 |
The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.
Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
Title | Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems PDF eBook |
Author | Tudor S. Ratiu |
Publisher | American Mathematical Society |
Pages | 102 |
Release | 2023-07-31 |
Genre | Mathematics |
ISBN | 147046439X |
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