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:
“It’s not a pretty face, I grant you. But underneath its flabby exterior is an enormous lack of character.”
—Alan Jay Lerner (1918–1986)
“Great Powers of falling wave and wind and windy fire,
With your harmonious choir
Encircle her I love and sing her into peace,
That my old care may cease....”
—William Butler Yeats (1865–1939)