Geodesic
The Differential of the Exponential Map for Reductive Homogeneous Spaces
Journal of Lie theory, Tome 25 (2015) no. 2, pp. 363-376
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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.
Classification : 53B05, 53C30
Mots-clés : Affine connection, exponential map, Taylor series, reductive homogeneous space 
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     author = {A. V. Gavrilov},
     title = {The {Differential} of the {Exponential} {Map} for {Reductive} {Homogeneous} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {363--376},
     year = {2015},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a2/}
}
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A. V. Gavrilov. The Differential of the Exponential Map for Reductive Homogeneous Spaces. Journal of Lie theory, Tome 25 (2015) no. 2, pp. 363-376. http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a2/