Journal of Lie Theory

no. 2
The Differential of the Exponential Map for Reductive Homogeneous Spaces
Journal of Lie Theory, Volume 25 (2015) no. 2, pp. 363-376
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.
DOI: 10.5802/jolt.840
Classification: 53B05, 53C30
Keywords: Affine connection, exponential map, Taylor series, reductive homogeneous space 
@article{JOLT_2015_25_2_a2,
     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},
     doi = {10.5802/jolt.840},
     zbl = {1323.53010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.840/}
}
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A. V. Gavrilov. The Differential of the Exponential Map for Reductive Homogeneous Spaces. Journal of Lie Theory, Volume 25 (2015) no. 2, pp. 363-376. doi: 10.5802/jolt.840

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