… compact riemannian 7-manifolds with holonomy G2. This paper will construct examples of
compact riemannian 8-manifolds with holonomy Spin(7), … Since metrics with holonomy Spin(7) …

… Our construction then yields new examples of compact 8-manifolds M with holonomy Spin(7)…
the holonomy group Spin(7) and CalabiYau orbifolds, and §4 defines the idea of ALE Spin(7…

… , compact, Ricciflat riemannian manifolds. The author has also used similar methods to construct
compact 8-manifolds with holonomy Spin(7), [… simply-connected, compact 7-manifold M, …

… In a series of three recent papers [5, 6 , 7] the author constructed the first known examples
of compact 7- and 8 -manifolds with metrics of holonomy G2 and Spin(7). This article will give …

… Instead, we will discuss an entirely different construction of compact 8-manifolds with
holonomy Spin(7) developed by the author in [8] and [9, §15], a little like Method 1 of §2.5. In this …

… -Yau manifolds which has holonomy SU(n), the form Φ is parallel if and only M has holonomy
in Spin(7). The Joyce construction of compact manifolds of holonomy Spin(7) [1] gener…

… holonomy groups, Chapters 1-7, and a research monograph on the exceptional holonomy
groups G2 and Spin(7), … 14 Examples of compact 8-manifolds with holonomy Spin(7) 14.1 …

… has holonomy Spin(7) we must also say what representation of Spin(7) we are considering.
… Therefore for an orbifold to have holonomy Spin(7) we must have that each orbifold group G …

… holonomy G2 and Spin(7) on compact 7- and 8-manifolds, we will first explain a simpler
construction of the same type: that of metrics of holonomy SU(2) on a particular compact … Spin(7), …

… noncompact Riemannian 8-manifolds with holonomy Spin(7). … complete noncompact metric
of Spin(7) holonomy, which was … point in a compact manifold of G 2 holonomy, while the S 1 …