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

Musa Ajeti; Ivan Badev

doi:10.2478/v10306-012-0005-6

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

SEEU Review

Volume 8 (2011): Issue 1 (December 2011)

By: Musa Ajeti and Ivan Badev

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 .

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