Formality of Positive Quaternion Kaehler Manifolds

Details Formality of Positive Quaternion Kaehler Manifolds Formality of Positive Quaternion Kaehler Manifolds

2009-11-17

arxiv.org/abs/0911.3250v2

Mathematics

General Topology

replaced by "On fibrations with formal elliptic fibers" arXiv:1112.3556v1 [math.AT]

Scientific paper

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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