A Finiteness Theorem for Quaternionic-Kaehler Manifolds with Positive Scalar Curvature
Abstract
Description
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
17 pages, LaTeX