On donne une description algébrique de l’ensemble des classes d’isomorphisme d’espaces symétriques affines connexes, simplement connexes et projectivement plats. On en déduit une classification des espaces symétriques affines connexes et projectivement plats et on détermine tous les espaces symétriques affines connexes admettant une transformation projective non affine.
We give an algebraic description for the set of isomorphism classes of connected, simply connected, projectively flat, affine symmetric spaces. A classification of connected projectively flat affine symmetric spaces id deduced. Moreover, we determine all connected affine symmetric spaces admitting a non affine projective transformation.
@article{AIF_1980__30_1_193_0, author = {Kerbrat, Yvan}, title = {Propri\'et\'es projectives des espaces sym\'etriques affines}, journal = {Annales de l'Institut Fourier}, volume = {30}, year = {1980}, pages = {193-219}, doi = {10.5802/aif.780}, mrnumber = {81j:53052}, zbl = {0417.53010}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIF_1980__30_1_193_0} }
Kerbrat, Yvan. Propriétés projectives des espaces symétriques affines. Annales de l'Institut Fourier, Tome 30 (1980) pp. 193-219. doi : 10.5802/aif.780. http://gdmltest.u-ga.fr/item/AIF_1980__30_1_193_0/
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