Projective Geometry II: Cones and Complete Classifications
Differential Geometry
2007-05-23 v4
Abstract
The aim of this paper and its prequel is to introduce and classify the irreducible holonomy algebras of the projective Tractor connection. This is achieved through the construction of a `projective cone', a Ricci-flat manifold one dimension higher whose affine holonomy is equal to the Tractor holonomy of the underlying manifold. This paper uses the result to enable the construction of manifolds with each possible holonomy algebra.
Keywords
Cite
@article{arxiv.math/0602621,
title = {Projective Geometry II: Cones and Complete Classifications},
author = {Stuart Armstrong},
journal= {arXiv preprint arXiv:math/0602621},
year = {2007}
}
Comments
30 pages, paper 2 of 2. Slight corrections, as well as diffirent division with paper 1