Castling transformations of projective structures

zbMATH Open1312.53026arXiv1301.1063MaRDI QIDQ5396018

Hironao Kato

Publication date: 5 February 2014

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.

Full work available at URL: https://arxiv.org/abs/1301.1063

zbMATH Keywords

projective structureprehomogeneous vector spaceGrassmannian structure

Mathematics Subject Classification ID

Prehomogeneous vector spaces (11S90) (G)-structures (53C10) Projective connections (53B10)

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