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:
“Adjoining a refreshment stand ... is a small frame ice house ... with a whitewashed advertisement on its brown front stating, simply, “Ice. Glory to Jesus.” The proprietor of the establishment is a religious man who has seized the opportunity to broadcast his business and his faith at the same time.”
—For the State of New Jersey, U.S. public relief program (1935-1943)