Partial Classification Results for Positive Quaternion Kaehler Manifolds - Mathematics > Differential GeometryReport as inadecuate




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Abstract: Positive Quaternion Kaehler Manifolds are Riemannian manifolds with holonomycontained in SpnSp1 and with positive scalar curvature. Conjecturally, theyare symmetric spaces. We prove this conjecture in dimension 20 under additionalassumptions and we provide recognition theorems for quaternionic projectivespaces in low dimensions as well as the real Grassmanian which is PositiveQuaternion Kaehler.



Author: Manuel Amann

Source: https://arxiv.org/







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