This research generalizes Helgason's formula for the exponential map in reductive homogeneous spaces and manifolds, indicating new mathematical relationships.
The Helgason's formula for a Taylor series related to the differential of the exponential map for symmetric spaces is generalized to reductive homogeneous spaces and to manifolds with torsion-free affine connections.
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A. V. Gavrilov (2015) studied this question.
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