射影几何II:锥与完全分类
微分几何
2007-05-23 v4
摘要
本文及其前篇旨在引入并分类射影Tractor联络的不可约holonomy代数。这是通过构造一个“射影锥”来实现的:这是一个维数高一的Ricci平坦流形,其仿射holonomy等于底层流形的Tractor holonomy。本文利用该结果得以构造具有每种可能holonomy代数的流形。
引用
@article{arxiv.math/0602621,
title = {Projective Geometry II: Cones and Complete Classifications},
author = {Stuart Armstrong},
journal= {arXiv preprint arXiv:math/0602621},
year = {2007}
}
备注
30 pages, paper 2 of 2. Slight corrections, as well as diffirent division with paper 1