Author: J. B. CarrellPublisher:
ISBN: 9783662213520
Category :
Languages : en
Pages : 156
Book Description
Group Actions and Vector Fields
Author: J. B. CarrellPublisher:
ISBN: 9783662213520
Category :
Languages : en
Pages : 156
Book Description
Group Actions and Vector Fields
Author: J. B. CarrellPublisher: Springer
ISBN: 3540395288
Category : Mathematics
Languages : en
Pages : 154
Book Description
Group Actions and Vector Fields
Author: Group Actions and Vector Fields Proceedings Vancouver 1981
Author: James Baldwin CarrellPublisher:
ISBN:
Category :
Languages : en
Pages : 144
Book Description
Lectures on Symplectic Geometry
Author: Ana Cannas da SilvaPublisher: Springer
ISBN: 354045330X
Category : Mathematics
Languages : en
Pages : 240
Book Description
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups
Author: Stefano BiagiPublisher: World Scientific
ISBN: 9813276630
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
Group Actions and Vector Fields
Author: Gerhard GierzPublisher:
ISBN: 9780387116020
Category : Differential equations
Languages : en
Pages : 202
Book Description
Hamiltonian Group Actions and Equivariant Cohomology
Author: Shubham DwivediPublisher: Springer Nature
ISBN: 3030272273
Category : Mathematics
Languages : en
Pages : 132
Book Description
This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.
Group Actions and Vector Fields
Author: Group Actions and Invariant Theory
Author: Andrzej Białynicki-BirulaPublisher: American Mathematical Soc.
ISBN: 9780821860151
Category : Mathematics
Languages : en
Pages : 244
Book Description
This volume contains the proceedings of a conference, sponsored by the Canadian Mathematical Society, on Group Actions and Invariant Theory, held in August, 1988 in Montreal. The conference was the third in a series bringing together researchers from North America and Europe (particularly Poland). The papers collected here will provide an overview of the state of the art of research in this area. The conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization problem for reductive group actions on affine spaces (with a counterexample given recently by J. Schwarz), spherical and complete symmetric varieties, reductive quotients, automorphisms of affine varieties, and homogeneous vector bundles.