A rigidity theorem for quaternionic Kaehler structures

Kota Hattori

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arXiv · 0810.5618

A rigidity theorem for quaternionic Kaehler structures

Kota Hattori

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Abstract

We study the moduli space of quaternionic Kaehler structures on a compact manifold of dimension 4n (n>2) from a point of view of Riemannian geometry, not twistor theory. Then we obtain a rigidity theorem for quaternionic Kaehler structures of nonzero scalar curvature by observing the moduli space.

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Kota Hattori. 2008-10-31. A rigidity theorem for quaternionic Kaehler structures. https://arxiv.org/abs/0810.5618

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