- mathematics, a
symplectomorphism or
symplectic map is an
isomorphism in the
category of
symplectic manifolds. In
classical mechanics, a
symplectomorphism represents...
- ****ociated to a
symplectic manifold and a
nondegenerate symplectomorphism of it. If the
symplectomorphism is Hamiltonian, the
homology arises from studying...
- with a
differential structure,
typically differentiable manifolds. A
symplectomorphism is an
isomorphism of
symplectic manifolds. A
permutation is an automorphism...
- form is a
canonical transformation;
these are a
special case of a
symplectomorphism,
which are
essentially a
change of
coordinates on a
symplectic manifold...
- in
reference to a
mineral intergrowth texture Metaplectic group Symplectomorphism This
disambiguation page
lists articles ****ociated with the title...
-
means minus the
given symplectic form (for example, the
graph of a
symplectomorphism; hence, minus). The
notion was
introduced by Alan Weinstein, according...
-
isotropic submanifolds. One
major example is that the
graph of a
symplectomorphism in the
product symplectic manifold (M × M, ω × −ω) is Lagrangian....
-
other words, an
isotopy of
symplectomorphisms,
starting with the identity. By Liouville's theorem, each
symplectomorphism preserves the
volume form on...
-
symplectic manifolds which preserves the
symplectic form is
called a
symplectomorphism. Non-degenerate skew-symmetric
bilinear forms can only
exist on even-dimensional...
-
canonical transformations are
considered under the
broader topic of
symplectomorphism which covers the
subject with
advanced mathematical prerequisites...
