A Finiteness Theorem for Quaternionic-Kaehler Manifolds with Positive Scalar Curvature

Abstract

We study the topology and geometry of those compact Riemannian (4n)-manifolds (M,g), n > 1, with positive scalar curvature and holonomy in Sp(n)Sp(1). Up to homothety, we show that there are only finitely many such manifolds of any dimension 4n.

17 pages, LaTeX