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:
“It would be nice to travel if you knew where you were going and where you would live at the end or do we ever know, do we ever live where we live, we’re always in other places, lost, like sheep.”
—Janet Frame (b. 1924)