Nondegenerate(2-form)
From Vectorcalcumb
Revision as of 16:56, 3 May 2006 by 65.96.55.39 (Talk)
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.
