Castling transformations of projective structures
Differential Geometry
2014-06-16 v2 Number Theory
Representation Theory
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.
Cite
@article{arxiv.1301.1063,
title = {Castling transformations of projective structures},
author = {Hironao Kato},
journal= {arXiv preprint arXiv:1301.1063},
year = {2014}
}
Comments
30 pages