A 2-form on a smooth manifold 
is the 
case of a differential k-form. At each
point 
, it is an alternating bilinear
form on the tangent space 
: it is linear in each of its two arguments and satisfies
for every 
. In a coordinate chart,
the coordinate functions 
,
..., 
supplied by the chart are called local
coordinates, and the 2-form has the form
 |
