Introduction to Symplectic Geometry

• Main Authors: Koszul, Jean-Louis (Author, http://id.loc.gov/vocabulary/relators/aut), Zou, Yi Ming (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematical physics.; Probabilities.; Differential geometry.; Mechanics.; Mathematical Physics.; Probability Theory and Stochastic Processes.; Differential Geometry.; Classical Mechanics.
• Physical Description: L, 121 p. 19 illus., 9 illus. in color. online resource.
• ISBN: 9789811339875
• DOI: 10.1007/978-981-13-3987-5

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.