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arXiv · 0911.3250

Formality of Positive Quaternion Kaehler Manifolds

Manuel Amann
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Abstract

Positive Quaternion Kaehler Manifolds are Riemannian manifolds with holonomy contained in Sp(n)Sp(1) and with positive scalar curvature. Conjecturally, they are symmetric spaces. We offer a new approach to this field of study via Rational Homotopy Theory, thereby proving the formality of Positive Quaternion Kaehler Manifolds. This result is established by means of an in-depth investigation on how formality behaves under spherical fibrations.

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Manuel Amann. 2009-11-17. Formality of Positive Quaternion Kaehler Manifolds. https://arxiv.org/abs/0911.3250

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