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An algorithm for geodesic coordinates in Riemannian manifolds - MaRDI portal

An algorithm for geodesic coordinates in Riemannian manifolds (Q916101)

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scientific article; zbMATH DE number 4153361
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An algorithm for geodesic coordinates in Riemannian manifolds
scientific article; zbMATH DE number 4153361

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    An algorithm for geodesic coordinates in Riemannian manifolds (English)
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    1990
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    The authors solve the equations that determine local geodesic coordinates by a Taylor series for which they give an estimate of the radius of convergence. \(\{\) The series itself cannot be used in praxi since the derivatives involved are not directly computable.\(\}\) An application is given to the approximate determination of geodesic distances used by the authors in statistical problems.
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    local geodesic coordinates
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    Taylor series
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    geodesic distances
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