A brief introduction to symplectic and contact manifolds

Augustin Banyaga, Djideme F. Houenou

Research output: Book/ReportBook

Abstract

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter. We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry. The book contains also more advanced material, suitable to advanced graduate students and researchers.

Original languageEnglish (US)
PublisherWorld Scientific Publishing Co. Pte Ltd
Number of pages167
Volume15
ISBN (Electronic)9789814696715
ISBN (Print)9789814696708
DOIs
StatePublished - Oct 1 2016

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Contact Geometry
Contact Manifold
Symplectic Manifold
Symplectic Geometry
Exercise
Hamiltonian Systems
Calculus

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Banyaga, A., & Houenou, D. F. (2016). A brief introduction to symplectic and contact manifolds. World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9667
Banyaga, Augustin ; Houenou, Djideme F. / A brief introduction to symplectic and contact manifolds. World Scientific Publishing Co. Pte Ltd, 2016. 167 p.
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Banyaga, A & Houenou, DF 2016, A brief introduction to symplectic and contact manifolds. vol. 15, World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9667

A brief introduction to symplectic and contact manifolds. / Banyaga, Augustin; Houenou, Djideme F.

World Scientific Publishing Co. Pte Ltd, 2016. 167 p.

Research output: Book/ReportBook

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Banyaga A, Houenou DF. A brief introduction to symplectic and contact manifolds. World Scientific Publishing Co. Pte Ltd, 2016. 167 p. https://doi.org/10.1142/9667