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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.cite-ref-1[1]

• See also

• References

• Frame (linear algebra)

• Frame bundle

• k-frame

• Moving frame

• Frame fields in general relativity

cite-note-11. ↑ citereflee2013Lee, John (2013), Introduction to Smooth Manifolds, Graduate Texts in Mathematics, vol. 218 (2nd ed.), Springer, p. 178, ISBN 9781441999825.