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arxiv: 0803.2974 · v2 · submitted 2008-03-20 · 🧮 math.DG

Mixed metric 3-contact manifolds and paraquaternionic K\"ahler manifolds

classification 🧮 math.DG
keywords manifoldsstructurescontactmetricmixedparaquaternionicahlerahlerian
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We study manifolds endowed with mixed metric 3--contact structures, proving that the distribution spanned by the Reeb vector fields is integrable, with totally geodesic integral manifolds, of constant sectional curvature $k=\pm1$. We also prove a result of projectability of such structures onto paraquaternionic K\"ahlerian structures.

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