PROJECTIVE SYMMETRY AND HOLONOMY

G S Hall

Key words: Projective symmetry, connections, holonomy.

1991 Math. Subject Classification: 53B05.

Abstract: Some results are presented which concern the
relationship between the existence of projective symmetries
and the reducibility of the holonomy group for Riemannian
and Pseudo-Riemannian manifolds.  A few general remarks are made
on the existence of projective vector fields.