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:
“But angels come to lead frail minds to rest
In chaste desires, on heavenly beauty bound.
You frame my thoughts, and fashion me within;
You stop my tongue, and teach my heart to speak;”
—Edmund Spenser (1552?–1599)