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TitleIntroduction to Symplectic Geometry [electronic resource] / by Jean-Louis Koszul, Yi Ming Zou
ImprintSingapore : Springer Singapore : Imprint: Springer, 2019
Edition 1st ed. 2019
Connect tohttps://doi.org/10.1007/978-981-13-3987-5
Descript L, 121 p. 19 illus., 9 illus. in color. online resource

SUMMARY

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


CONTENT

Some Algebra Basics -- Symplectic Manifolds -- Cotangent Bundles -- Symplectic G-spaces -- Poisson Manifolds -- A Graded Case


Distribution (Probability theory Global differential geometry Mechanics Mathematical Physics. http://scigraph.springernature.com/things/product-market-codes/M35000 Probability Theory and Stochastic Processes. http://scigraph.springernature.com/things/product-market-codes/M27004 Differential Geometry. http://scigraph.springernature.com/things/product-market-codes/M21022 Classical Mechanics. http://scigraph.springernature.com/things/product-market-codes/P21018



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