Symplectic Geometry
by Ana Cannas da Silva
Publisher: Princeton University 2004
Number of pages: 109
Description:
This is an overview of symplectic geometry – the geometry of symplectic manifolds. From a language for classical mechanics in the XVIII century, symplectic geometry has matured since the 1960’s to a rich and central branch of differential geometry and topology. A current survey can thus only aspire to give a partial flavor on this exciting field.
Download or read it online for free here:
Download link
(840KB, PDF)
Similar books
Contact Geometry
by Hansjoerg Geiges - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(11769 views)
by Hansjoerg Geiges - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(11769 views)
Lectures on Symplectic Geometry
by Ana Cannas da Silva - Springer
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.
(15158 views)
by Ana Cannas da Silva - Springer
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.
(15158 views)
Introduction to Differential Topology, de Rham Theory and Morse Theory
by Michael Muger - Radboud University
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.
(12186 views)
by Michael Muger - Radboud University
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.
(12186 views)
Ricci Flow and the Poincare Conjecture
by John Morgan, Gang Tian - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(13392 views)
by John Morgan, Gang Tian - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(13392 views)