Nondegenerate(2-form)

From Vectorcalcumb

A two form <m> omega </m> is nondegenerate over a Manifold <m> M</m> iff for all <m> m in M</m> and for all <m>v in T_m M </m> <m> (iota_m omega(v) = 0) right m = 0</m>

In other words, <m> omega </m> is nondegenerate over a Manifold <m> M</m> iff <m> omega </m> only defines an alternating bilinear form which is identically zero for the origin, should the origin be part of the manifold.