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arxiv: 1503.06868 · v1 · pith:VD6QTLOYnew · submitted 2015-03-23 · 🧮 math.DG

Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry

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keywords structurescontacteinstein-weylgeometryinvariantssub-pseudo-riemannianadditionalcertain
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We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to Einstein-Weyl geometries in dimension 3, provided that certain additional conditions are satisfied.

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