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Locally conformally symplectic reduction (1809.00034v2)

Published 31 Aug 2018 in math.DG and math.SG

Abstract: We present a reduction procedure for locally conformally symplectic (LCS) manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally K\"ahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping.

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