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Hamiltonian systems, symplectic flows, classical integrable systems

3 votes
0 answers
523 views

Two possible meanings of "totally real" submanifold

It seems that there are two common meanings for a submanifold of an almost-complex Riemannnian manifold to be "totally real": one says that the almost-complex structure takes the tangent space into th …
10 votes
0 answers
408 views

Gromov's compactness theorem via Sacks-Uhlenbeck and Schoen-Uhlenbeck

Gromov's compactness theorem for pseudo-holomorphic curves, in section 1.5 of "Pseudoholomorphic curves in symplectic manifolds," is very well known. I'm aware of the following two proofs: J.G. Wolfs …