Holonomic basis
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(Redirected from Coordinate basis)
In mathematics and mathematical physics, a holonomic basis or coordinate basis for a differentiable manifold is a set of basis vector fields {ek} such that some coordinate system {xk} exists for which
A local condition for a basis {ek} to be holonomic is that all mutual Lie derivatives vanish:[1]
A basis that is not holonomic is called a non-holonomic or non-coordinate basis.
References
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See also
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