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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
Apr
27
comment The Jacobi Identity for the Poisson Bracket
@Josè Figueroa-O'Farrill: Thanks for the attention. In my answer, I tried to highlight this point that was already in your answer. But my approach is lowbrow with respect to the highbrow answer of Jonathan.
Apr
25
comment Lie group operation and tangent vectors
About some of following answers: Excuse me, but is not the content of the question exactly to prove that $T_{e,e}\mu(\xi,\eta)=\xi+\eta$ for any $\xi,\eta\in T_eG$? So we should not appeal to it in a proof. But we should point out that this expression is just a consequence of the canonical identification of $T(G\times G)$ with the direct product $TG\times TG$.
Apr
24
comment The Jacobi Identity for the Poisson Bracket
@Josè Figueroa-O'Farrill: When, for an arbitrary almost-symplectic manifold, we again construct the bracket, is correct that $d\omega(X_f,X_g,X_h)$ is equal to the Jacobiator $J(f,g,h)$? or I am making same mistake?
Apr
24
revised The Jacobi Identity for the Poisson Bracket
added 581 characters in body
Apr
23
comment The Jacobi Identity for the Poisson Bracket
I find your answer to be the right complement to Jose's answer. Thanks.
Apr
23
revised regarding metric and symplectic forms
deleted 86 characters in body
Apr
23
answered regarding metric and symplectic forms
Apr
23
awarded  Nice Question
Apr
23
revised The Jacobi Identity for the Poisson Bracket
I hope to have improved formatting
Apr
23
answered The Jacobi Identity for the Poisson Bracket
Apr
21
comment What is a Lagrangian submanifold intuitively?
@Stefan Waldmann: It is remarkable that first occurrences of Lagrangian submanifolds and even of the Fourier integral operators could be found in the pioneer work of Maslov.
Apr
20
answered Early Two-Author Math Papers
Apr
19
awarded  Enlightened
Apr
18
awarded  Nice Answer
Apr
18
comment On closed totally disconnected subgroups of connected real Lie groups
@Stephen: thanks a lot for your attention.
Apr
17
revised How transitive are the actions of symplectomorphism groups ?
added 65 characters in body
Apr
17
revised How transitive are the actions of symplectomorphism groups ?
deleted 12 characters in body; edited body
Apr
17
answered How transitive are the actions of symplectomorphism groups ?