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Mutual compositions in even-dimensional affinely connected space without a torsion

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Open Access
|Feb 2013

Abstract

Consider an affinely connected space without a torsion A2n. [6] introduces pairs of mutual compositions Xn x X n and Yn x Y n , defined by the afinors aa and ba . This paper considers two new compositions given by the affinors a = V2 (aa + ba ) and Ca = V2 (aa - ba ). We show that these compositions define integrable structures in A2n .

Language: English
Page range: 76 - 84
Published on: Feb 1, 2013
Published by: South East European University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2013 Musa Ajeti, Ivan Badev, published by South East European University
This work is licensed under the Creative Commons License.