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Revision difference : concepts in symplectic geometry
Version 3 Version 2
\subsubsection*{Linear theory} \subsubsection*{Linear theory}
\begin{enumerate} \begin{enumerate}
\item symplectic vector space, symplectic matrix \item symplectic vector space, symplectic matrix
\item symplectic complement \item symplectic complement
\end{enumerate} \end{enumerate}
\subsubsection*{Symplectic manifolds} \subsubsection*{Symplectic manifolds}
\begin{enumerate} \begin{enumerate}
\item symplectic manifold (\PMlinkname{examples}{ExamplesOfSymplecticManifolds}) \item symplectic manifold (\PMlinkname{examples}{ExamplesOfSymplecticManifolds})
\item lagrangian submanifold, isotropic submanifold \item lagrangian submanifold, isotropic submanifold
\item symplectic vector field \item symplectic vector field
\item symplectomorphism, canonical transformation \item symplectomorphism, canonical transformation
\item Hamilton equations \item Hamilton equations
\item \PMlinkname{Darboux's Theorem}{DarbouxsTheoremSymplecticGeometry} \item \PMlinkname{Darboux's Theorem}{DarbouxsTheoremSymplecticGeometry}
\item Poisson bracket \item Poisson bracket
\item Moser's theorem \item Moser's theorem
\item Gray stability theorem \item Gray stability theorem
\item momentum map
\end{enumerate} \end{enumerate}