Orthonormal frame
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]
See also[]
- Frame (linear algebra)
- Frame bundle
- k-frame
- Moving frame
- Frame fields in general relativity
References[]
- ^ Lee, John (2013), Introduction to Smooth Manifolds, Graduate Texts in Mathematics, vol. 218 (2nd ed.), Springer, p. 178, ISBN 9781441999825.
Categories:
- Riemannian geometry
- Differential geometry stubs