Symplectic Geometry

@article{Cieliebak1992SymplecticG,
  title={Symplectic Geometry},
  author={Kai Cieliebak},
  journal={Acta Applicandae Mathematica},
  year={1992},
  volume={28},
  pages={95-97}
}
  • K. Cieliebak
  • Published 1992
  • Mathematics
  • Acta Applicandae Mathematica
These are lecture notes for two courses, taught at the University of Toronto in Spring 1998 and in Fall 2000. Our main sources have been the books " Symplectic Techniques " by Guillemin-Sternberg and " Introduction to Symplectic Topology " by McDuff-Salamon, and the paper " Stratified symplectic spaces and reduction " , Ann. of Math. 134 (1991) by Sjamaar-Lerman. 
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This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in 1991. The material and references have been updated. Symplectic manifolds and
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The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: sympletic topology. Surprising rigidity phenomena
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Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid
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