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.

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Cited by in corpus (4)

• 3-Sasakian Manifolds
• M-theory compactifications on certain `toric' cones of $G_2$ holonomy
• M-theory on `toric' G_2 cones and its type II reduction
• Sp(n)U(1)-connections with parallel totally skew-symmetric torsion