Springer, 2019. — 166 p. — ISBN: 9811339864.
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.
Some Algebra Basics
Symplectic Manifolds
Cotangent Bundles
Symplectic G-Spaces
Poisson Manifolds
A Graded Case