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Jun
28
comment Non-standard addition theorem for Legendre function of the first kind
Dear Fedor Petrov, I have added the classical analysis tag, thinking it could be useful.
Jun
28
revised Non-standard addition theorem for Legendre function of the first kind
edited tags
Jun
28
answered What does the word “symplectic” mean?
Jun
25
revised symplectic form with partition on unity
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Jun
25
comment symplectic form with partition on unity
@Qiaochu Yuan: Sure, you are right, I need to edit lightly the answer. Thank you very much.
Jun
25
comment symplectic form with partition on unity
Dear Daniel Pomerleano, excuse me, but, if $\omega$ is a symplectic form on a compact connected manifold $M$, should not its cohomology class be necessarily nonzero? infact $[\omega]=0$ imply $[\omega^n]=[\omega]^n=0$ and this last contradicts $\int_M\omega\neq 0$. Bye.
Jun
25
answered symplectic form with partition on unity
Jun
24
comment What's difference between 'functional' and 'function'?
I think this definition is also somewhere in Lang's Linear Algebra.
Jun
23
comment On degenerate integrable hamiltonian systems
Dear Daniele Sepe, thanks for your reference. In this paper the integrability condition of Mischenko and Fomenko is interpreted as sufficient for the existence of an isotropic and symplectically complete fibration (FISC after Dazord and Delzant) and hence of generalized action-angle coordinates. I learn also that the first use of the notion of FISC in concrete examples of mechanical interest is the book Nonlinear Poisson Bracket of Maslov and Karasev, and the other paper of Fassò on Euler-Poinsot that you cite. Thank you.
Jun
23
accepted On degenerate integrable hamiltonian systems
Jun
23
comment On degenerate integrable hamiltonian systems
Dear jvkersch, thank you for the reference. Even if in this book there is no mention of degenerate (or super, non commutative) integrability, the detailed analysis of the topology of the momentum map for many classical ham. systems ( Euler top, kepler problem, harmonic oscillator,...; that, by the way, are superintegrable) should permit to recognize the existence of generalized action-angle coordinates at least on a open subset of the phase space.
Jun
21
revised On degenerate integrable hamiltonian systems
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Jun
21
asked On degenerate integrable hamiltonian systems
Jun
19
revised The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$
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Jun
18
revised The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$
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Jun
18
revised The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$
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Jun
18
revised The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$
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Jun
18
answered The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$
Jun
17
comment History of Gauss' Law
The eighth entry in its bibliography is to the paper of 1813 by Gauss.
Jun
17
comment History of Gauss' Law
Dear Michael Spivak, you could give a look at this paper of Viktor Katz on the subject, I hope it is useful to you.ingelec.uns.edu.ar/asnl/Materiales/Cap03Extras/Stokes-Katz.pdf