The definition and structure of hyperkähler structure preserving transformations (invariance group) for quaternionic structures have been recently studied and some preliminary results on the Euclidean case discussed. In this work we present the whole structure of the invariance Lie algebra in the Euclidean case for any dimension.
Structure preserving transformations in hyperkähler Euclidean spaces / G. Gaeta, M.A. Rodriguez. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 100(2016 Feb), pp. 33-51. [10.1016/j.geomphys.2015.11.004]
Structure preserving transformations in hyperkähler Euclidean spaces
G. Gaeta;
2016
Abstract
The definition and structure of hyperkähler structure preserving transformations (invariance group) for quaternionic structures have been recently studied and some preliminary results on the Euclidean case discussed. In this work we present the whole structure of the invariance Lie algebra in the Euclidean case for any dimension.
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