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A Closed Formula for the Riemann Normal Coordinate Expansion

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arxiv gr-qc/9712092 v2 pith:XYSC223F submitted 1997-12-24 gr-qc dg-gahep-thmath.DG

classification gr-qcdg-gahep-thmath.DG
keywords closedcoefficientscoordinateexpansionformulanormalriemannderive
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We derive an integral representation which encodes all coefficients of the Riemann normal coordinate expansion, and also a closed formula for those coefficients.

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  1. The Geometry of Extended Kalman Filters on Manifolds with Affine Connection

    eess.SY 2025-06 conditional novelty 7.0 of 10

    A geometric extended Kalman filter using affine connections, parallel transport, and curvature to transform Gaussian covariances between coordinates improves state estimation on manifolds.

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