: Astronomy: normal coordinate

mathematical technique > geometry > differential geometry > normal coordinate

mathematical technique > frame of reference > coordinate system > normal coordinate

astronomical technique > astrometry > coordinate system > normal coordinate

normal coordinate

In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space at p. In a normal coordinate system, the Christoffel symbols of the connection vanish at the point p, thus often simplifying local calculations. In normal coordinates associated to the Levi-Civita connection of a Riemannian manifold, one can additionally arrange that the metric tensor is the Kronecker delta at the point p, and that the first partial derivatives of the metric at p vanish. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Normal_coordinates)

http://data.loterre.fr/ark:/67375/MDL-RP6RTNVW-8

RDF/XML TURTLE JSON-LD

Loterre