Partial Classification Results for Positive Quaternion Kaehler Manifolds

Details Partial Classification Results for Positive Quaternion Kaehler Manifolds Partial Classification Results for Positive Quaternion Kaehler Manifolds

2009-11-24

arxiv.org/abs/0911.4587v1

Mathematics

Differential Geometry

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 prove this conjecture in dimension 20 under additional assumptions and we provide recognition theorems for quaternionic projective spaces (in low dimensions) as well as the real Grassmanian (which is Positive Quaternion Kaehler).

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