A construction of symplectic connections through reduction

Mathematics – Symplectic Geometry

Scientific paper

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16 pages, Plain TeX file

Scientific paper

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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