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Structure preserving transformations in hyperkähler Euclidean spaces

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Gaeta, G. and Rodríguez González, Miguel Ángel (2016) Structure preserving transformations in hyperkähler Euclidean spaces. Journal of geometry and physics, 100 . pp. 33-51. ISSN 0393-0440

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Official URL: http://dx.doi.org/10.1016/j.geomphys.2015.11.004


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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.


Item Type:Article
Additional Information:

© 2015 Elsevier B.V.
MAR was supported by the Spanish Ministry of Science and Innovation under project FIS2011-22566. GG is supported by the Italian MIUR-PRIN program under project 2010-JJ4KPA. This article was started in the course of visits of GG at Universidad Complutense of Madrid and of MAR at Università degli Studi di Milano.

Uncontrolled Keywords:Hyperkahler manifolds; Hyperhamiltonian dynamics; Canonical transformations; Invariance algebra.
Subjects:Sciences > Physics
ID Code:36522
Deposited On:30 Mar 2016 18:16
Last Modified:10 Dec 2018 15:09

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