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May
17
answered What is a good way to think about a fundamental field on a principal G-bundle?
May
12
revised Periodic orbits of Hamiltonian systems
added 9 characters in body
May
12
revised Periodic orbits of Hamiltonian systems
inserted a link, and quoted a theorem
May
12
answered Periodic orbits of Hamiltonian systems
May
5
answered Most memorable titles
May
4
comment About the geometry of completely integrable systems
Excuse me for the delay in accepting the answer. I believed to have already accepted it after my last comment. Probably then I clicked twice; the first accepting, and the second time inadvertently to dismiss. My mistake.
May
4
accepted About the geometry of completely integrable systems
May
4
comment About the geometry of completely integrable systems
Dear DamienC: Thank you very much, "perhaps" I have realized what I was missing. This dialogue with you was very useful to me.
May
4
comment About the geometry of completely integrable systems
Dear DamienC, By the theorem of Carathedory-Jacobi-Lie I am able to extend $f_1,\ldots, f_n$ to a local symplectic chart $f_1,\ldots,f_n,g_1,\ldots,g_n$ around an arbitrary point $x$. So taking level sets of $g_1,\ldots,g_n$, I get a Lagrangian submanifold $\Sigma$ passing through $x$ and transversal to $\mathcal{F}$. But I am unable to exclude that the intersection of $Sigma$ with some leaf of $mathcal{F}$ has $x$ as accumulation point.
May
4
revised About the geometry of completely integrable systems
corrected spelling
May
4
comment About the geometry of completely integrable systems
Dear DamienC, thanks a lot for your attention. About the question: my doubt arose just because I was unable to conclude the reported statement, or to construct a counterexample, within the hypothesis in the initial setting. Thanks also for the linked first chapter, surely it will be useful.
May
3
asked About the geometry of completely integrable systems
Apr
29
comment Does an abelian group acting on a riemaniann manifold define an othogonal foliation?
I have added a fifth tag differential-geometry as more comprehensive, Are you contrary?
Apr
29
revised Does an abelian group acting on a riemaniann manifold define an othogonal foliation?
edited tags
Apr
29
revised To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?
another attempt to fix an error in TeX; deleted 4 characters in body
Apr
29
revised To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?
added 30 characters in body
Apr
29
revised To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?
deleted 13 characters in body; deleted 12 characters in body
Apr
29
revised To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?
Trying to correct LaTeX
Apr
29
revised To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?
trying to correct LaTeX
Apr
29
answered To what extent can I think of a Lagrangian fibration in a symplectic manifold as T*N?