Geodesic
Tensor Fields and Connections on Holomorphic Orbit Spaces of Finite Groups
Journal of Lie theory, Tome 13 (2003) no. 2, pp. 519-534 Cet article a éte moissonné depuis la source Heldermann Verlag

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For a representation of a finite group G on a complex vector space V we determine when a holomorphic (p/q)-tensor field on the principal stratum of the orbit space V/G can be lifted to a holomorphic G-invariant tensor field on V. This extends also to connections. As a consequence we determine those holomorphic diffeomorphisms on V/G which can be lifted to orbit preserving holomorphic diffeomorphisms on V. This in turn is applied to characterize complex orbifolds.
Classification : 32M17
Mots-clés : Complex orbifolds, orbit spaces of complex finite group actions 
@article{JLT_2003_13_2_JLT_2003_13_2_a12,
     author = {A. Kriegl and M. Losik and P. W. Michor },
     title = {Tensor {Fields} and {Connections} on {Holomorphic} {Orbit} {Spaces} of {Finite} {Groups}},
     journal = {Journal of Lie theory},
     pages = {519--534},
     year = {2003},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a12/}
}
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A. Kriegl; M. Losik; P. W. Michor . Tensor Fields and Connections on Holomorphic Orbit Spaces of Finite Groups. Journal of Lie theory, Tome 13 (2003) no. 2, pp. 519-534. http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a12/