Double products and hypersymplectic structures on $R^{4n}$
Differential Geometry
2009-11-10 v1
Abstract
In this paper we give a procedure to construct hypersymplectic structures on beginning with affine-symplectic data on . 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.
Cite
@article{arxiv.math/0401294,
title = {Double products and hypersymplectic structures on $R^{4n}$},
author = {Adrian Andrada and Isabel Dotti},
journal= {arXiv preprint arXiv:math/0401294},
year = {2009}
}