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

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

1993-02-23

arxiv.org/abs/alg-geom/9302005v1

Mathematics

Algebraic Geometry

17 pages, LaTeX

Scientific paper

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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