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arxiv: math/0012075 · v1 · submitted 2000-12-11 · 🧮 math.SG · math.DG

A construction of symplectic connections through reduction

classification 🧮 math.SG math.DG
keywords connectionssymplecticconstructionreductionsymmetricclasscurvaturedescription
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We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic connections with Ricci type curvature, which are not locally symmetric; the existence of such symplectic connections was unknown.

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