Journal of Lie Theory

no. 4
Castling Transformations of Projective Structures
Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1129-1160
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.
DOI: 10.5802/jolt.770
Classification: 53B10, 11S90, 53C10
Keywords: Projective structure, Grassmannian structure, prehomogeneous vector space 
@article{JOLT_2013_23_4_a14,
     author = {H. Kato},
     title = {Castling {Transformations} of {Projective} {Structures}},
     journal = {Journal of Lie Theory},
     pages = {1129--1160},
     year = {2013},
     volume = {23},
     number = {4},
     doi = {10.5802/jolt.770},
     zbl = {1312.53026},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.770/}
}
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H. Kato. Castling Transformations of Projective Structures. Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1129-1160. doi: 10.5802/jolt.770

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