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.[1]
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editReferences
edit- ^ Lee, John (2013), Introduction to Smooth Manifolds, Graduate Texts in Mathematics, vol. 218 (2nd ed.), Springer, p. 178, ISBN 9781441999825.
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