- Fermi coordinates
In the mathematical theory of
Riemannian geometry , Fermi coordinates are local coordinates that are adapted to ageodesic .More formally, suppose "M" is an "n"-dimensional
Riemannian manifold , is a geodesic on , and is a point on . Then there exists local coordinates around such that:
* For small "t", represents the geodesic near ,
* On , the metric tensor is the Euclidean metric,
* On , allChristoffel symbol s vanish.Such coordinates are called Fermi coordinates and are named after the Italian physicist
Enrico Fermi . It should be emphasized that the above properties are only valid on the geodesic. For example, if all Christoffel symbols vanish near , then the manifold is flat near .ee also
*
Geodesic normal coordinates
*Christoffel symbols
*Isothermal coordinates
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