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Double products and hypersymplectic structures on $R^{4n}$

Adrian Andrada·Isabel Dotti
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Abstract

In this paper we give a procedure to construct hypersymplectic structures on $R^{4n}$ beginning with affine-symplectic data on $R^{2n}$. These structures are shown to be invariant by a 3-step nilpotent double Lie group and the resulting metrics are complete and not necessarily flat. Explicit examples of this construction are exhibited.

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Adrian Andrada, Isabel Dotti. 2004-01-22. Double products and hypersymplectic structures on $R^{4n}$. https://doi.org/10.1007/s00220-005-1472-9

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