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.
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“Writing a novel is not merely going on a shopping expedition across the border to an unreal land: it is hours and years spent in the factories, the streets, the cathedrals of the imagination.”
—Janet Frame (b. 1924)