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arxiv: 1402.1775 · v1 · pith:ZA6JJPBLnew · submitted 2014-02-07 · 🧮 math.DG

The topology of quaternionic contact manifolds

classification 🧮 math.DG
keywords manifoldscontactquaternionictopologyalmostcartan-hadamardconsequencescurvature
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We explore the consequences of curvature and torsion on the topology of quaternionic contact manifolds with integrable vertical distribution. We prove a general Myers theorem and establish a Cartan-Hadamard result for almost qc-Einstein manifolds.

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