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visits | member for | 3 years, 8 months |
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stats | profile views | 3,239 |
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? |
Apr 28 |
comment |
Foliating R^3 with straight lines
@Brendan Foreman: Nice comment. Wouldn't you develop it as an answer? |
Apr 28 |
revised |
The Jacobi Identity for the Poisson Bracket
corrected wrong notation |