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Journal of Lie Theory 25 (2015), No. 2, 363--376
Copyright Heldermann Verlag 2015

The Differential of the Exponential Map for Reductive Homogeneous Spaces

A. V. Gavrilov
Department of Physics, Novosibirsk State University, 2 Pirogov Street, Novosibirsk 630090, Russia

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.

Keywords: Affine connection, exponential map, Taylor series, reductive homogeneous space.

MSC: 53B05, 53C30

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