Exterior Powers
The k-th exterior power of the cotangent space, denoted Λk(Tx*M), is another important object in differential geometry. Vectors in the kth exterior power, or more precisely sections of the k-th exterior power of the cotangent bundle, are called differential k-forms. They can be thought of as alternating, multilinear maps on k tangent vectors. For this reason, tangent covectors are frequently called one-forms.
Read more about this topic: Cotangent Space
Famous quotes containing the words exterior and/or powers:
“The exterior must be joined to the interior to obtain anything from God, that is to say, we must kneel, pray with the lips, and so on, in order that proud man, who would not submit himself to God, may be now subject to the creature.”
—Blaise Pascal (1623–1662)
“The powers that be are ordained of God.”
—Bible: New Testament St. Paul, in Romans, 13:1.