Geodesic
Castling Transformations of Projective Structures
Hironao Kato1, 2
1Advanced Mathematical Institute, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan
2Dept. of Mathematics, King's College, Strand, London WC2R 2LS, England
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1129-1160

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

Hironao Kato  1 , 2

1 Advanced Mathematical Institute, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan
2 Dept. of Mathematics, King's College, Strand, London WC2R 2LS, England 
Hironao Kato. Castling Transformations of Projective Structures. Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1129-1160. http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a14/
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     author = {Hironao Kato},
     title = {Castling {Transformations} of {Projective} {Structures}},
     journal = {Journal of Lie Theory},
     pages = {1129--1160},
     year = {2013},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a14/}
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