Examples of using Symplectic in English and their translations into Russian
{-}
-
Official
-
Colloquial
Symplectic geometry has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes on the structure of a symplectic manifold.
the special orthogonal group SO(n), and the symplectic group Sp2n.
Where the metric tensor measures lengths and angles, the symplectic form measures oriented areas.
The Hamiltonian vector field(a special type of symplectic vector field)
one must equip the symplectic manifold with a torsion-free symplectic connection.
it is mostly used in cinnamon and other symplectic fragrances, and occasionally used in cherry and honey flavor.
representation theory, symplectic geometry, category theory, integrable systems.
choose coordinates so as to make the symplectic structure constant,
these are the exceptional group G2(3) and the symplectic group Sp4(3))
a symplectic matrix.
riemannian geometry, symplectic geometry, geometric group theory,
which double cover the symplectic groups.
another triangulated category constructed from the symplectic geometry of Y the derived Fukaya category.
mathematics, by analogy with finding symplectic analogs of classic Riemannian geometry,
If Ω is the symplectic form on the 2n-dimensional phase space W and u1,… ,u2n form a system of coordinates on W, then canonical coordinates(q,
For the orthogonal group or the symplectic group, the projective homogeneous varieties have a similar description as varieties of isotropic flags with respect to a given quadratic form or symplectic form.
Symplectic Techniques in Physics.
Almost Contact Metric Structures Defined by a Symplectic Structure Over a Distribution.
An odd symplectic form should not be confused with a Grassmann-even symplectic form on a supermanifold.
Mirror symmetry does not only replace the homological dimensions but also symplectic structure and complex structure on the mirror pairs.