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Introduction and Motivation

  • Izu Vaisman
Part of the Progress in Mathematics book series (PM)

Abstract

The aim of this chapter is to motivate the study of symplectic geometry and, particularly, of the transversality of Lagrangian subbundles of a symplectic vector bundle by showing that these subjects are imposed necessarily by partial differential equations and mathematical physics. At the same time, we shall introduce the basic notions of symplectic geometry as they grow out of the study of partial differential equations.

Keywords

Poisson Bracket Symplectic Manifold Cotangent Bundle Lagrangian Submanifolds Symplectic Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Izu Vaisman
    • 1
  1. 1.Department of MathematicsUniversity of HaifaMount Carmel, HaifaIsrael

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