In Riemannian geometry and relativity theory, an orthonormal frame is a tool for studying the structure of a differentiable manifold equipped with a metric. If M is a manifold equipped with a metric g, then an orthonormal frame at a point P of M is an ordered basis of the tangent space at P consisting of vectors which are orthonormal with respect to the bilinear form gP.
Famous quotes containing the word frame:
“Faith, I have been a truant in the law,
And never yet could frame my will to it,
And therefore frame the law unto my will.”
—William Shakespeare (1564–1616)