Compact Riemannian 7-manifolds with holonomy G2. I

Abstract

This is the second of two papers about metrics of holonomy G2 on compact 7-manifolds. In our first paper [15] we established the existence of a family of metrics of holonomy G2 on a single, compact, simply-connected 7-manifold M, using three general results, Theorems A, B and C. Our purpose in this paper is to explore th