Download E-books Lectures on Symplectic Geometry (Lecture Notes in Mathematics) PDF

By Ana Cannas da Silva

The aim of those notes is to supply a quick advent to symplectic geometry for graduate scholars with a few wisdom of differential geometry, de Rham thought and classical Lie teams. this article addresses symplectomorphisms, neighborhood kinds, touch manifolds, appropriate virtually advanced constructions, Kaehler manifolds, hamiltonian mechanics, second maps, symplectic relief and symplectic toric manifolds. It comprises guided difficulties, known as homework, designed to counterpoint the exposition or expand the reader's realizing. There are through now very good references on symplectic geometry, a subset of that's within the bibliography of this ebook. even if, the most productive advent to a topic is usually a brief trouble-free therapy, and those notes try and serve that goal. this article offers a flavor of parts of present examine and should arrange the reader to discover contemporary papers and broad books on symplectic geometry the place the velocity is way speedier. For this reprint a number of corrections and clarifications were made, and the format has been enhanced.

Show description

Read or Download Lectures on Symplectic Geometry (Lecture Notes in Mathematics) PDF

Best Differential Geometry books

Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in third-dimensional Euclidean area, provided in its easiest, so much crucial shape, yet with many explanatory info, figures and examples, and in a fashion that conveys the theoretical and useful significance of different innovations, equipment and effects concerned.

Variational Problems in Differential Geometry (London Mathematical Society Lecture Note Series, Vol. 394)

The sphere of geometric variational difficulties is fast-moving and influential. those difficulties have interaction with many different components of arithmetic and feature powerful relevance to the examine of integrable structures, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the collage of Leeds introduced jointly the world over revered researchers from many alternative components of the sector.

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Dedicated to an immense and renowned department of recent theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry ways to research nonlinear integrable structures of Toda variety. Many not easy difficulties in theoretical physics are relating to the answer of nonlinear platforms of partial differential equations.

Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications)

Equipment from touch and symplectic geometry can be utilized to unravel hugely non-trivial nonlinear partial and usual differential equations with out resorting to approximate numerical tools or algebraic computing software program. This e-book explains how it really is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.

Extra info for Lectures on Symplectic Geometry (Lecture Notes in Mathematics)

Show sample text content

Rated 4.88 of 5 – based on 17 votes