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🔗 Source: math.tecnico.ulisboa.pt
📊 Size: 110 KB
📄 Pages: 1 page
⬇️ Downloads: 170

Summary

Problem Set 2 for Symplectic Geometry course, due April 09, 2020/21, consists of 6 problems:
1. Prove the relation between Hamiltonian vector fields Xh and Xh◦ψ−1.
2. Show ψh is a symplectomorphism of (T ∗L, ωcan).
3. Prove the existence of a diffeomorphism φ such that φ∗(σ1) = σ0 given [σ0] = [σ1] in Hm dR(M).
4. Provide examples of symplectic, isotropic, coisotropic, and Lagrangian submanifolds of (T4, ω).
5. Show the Hamiltonian vector field Xh satisfies (Xh)q ∈ (TqQ)ω for a coisotropic submanifold Q.
6. Prove the distribution (TQ)ω is isotropic and integrable for a coisotropic submanifold Q.

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Description

Problem Set 2 for Symplectic Geometry course, due April 09, 2020/21, consists of 6 problems:
1.

Technical Information

  • File Format: PDF
  • File Size: 110 KB
  • Pages: 1
  • Language: EN
  • Total Downloads: 170
  • Last Updated: 3 hours ago

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