Geodesic
Castling Transformations of Projective Structures
Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1129-116.

Voir la notice de l'article provenant de la source Heldermann Verlag

We construct an infinite sequence of projectively flat manifolds by using castling transformations of prehomogeneous vector spaces. We also give a classification of manifolds equipped with a flat projective structure obtained by a finite number of castling transformations, and describe these flat projective structures by atlases.
Classification : 53B10, 11S90, 53C10
Mots-clés : Projective structure, Grassmannian structure, prehomogeneous vector space 
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     author = {H. Kato },
     title = {Castling {Transformations} of {Projective} {Structures}},
     journal = {Journal of Lie theory},
     pages = {1129--116},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a14/}
}
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H. Kato . Castling Transformations of Projective Structures. Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1129-116. http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a14/