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Hamiltonian systems, symplectic flows, classical integrable systems

1 vote

Special Hamiltonian diffeomorphisms

A time-one map of a flow is homotopic (even isotopic) to the identity, so that provides a lot of homotopy and homology obstructions. In the two dimensional case, i.e., an oriented surface with a desig …
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24 votes

What does the word "symplectic" mean?

The following is from page 1 of *Lectures on symplectic geometry* by Ana Cannas da Silva: As a curiousity, note that two centuries ago the name symplectic geometry did not exist. If you consult a maj …
Dick Palais's user avatar
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115 votes
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About a letter by Richard Palais of 1965.

I haven't thought about that letter for a very long time, but as far as I can recall I didn't ever make it publicly available, and I don't think any of the friends to whom I sent it did either. Howeve …
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16 votes

Book on symplectic geometry

You can find a very nice introduction to the subject in these notes by Ana Cannas da Silva: www.math.princeton.edu/~acannas/symplectic.pdf
Dick Palais's user avatar
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