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arXiv · 1301.1063

Castling transformations of projective structures

Hironao Kato
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Abstract

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.

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Hironao Kato. 2014-06-13. Castling transformations of projective structures. https://arxiv.org/abs/1301.1063

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