<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 .</p></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 .

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

Department of Mathematics, Physics and Chemitry Technical University- Sofia, Plovdiv Branch

SEEU Review

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...

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

Published Online: Feb 01, 2013

Page range: 76 - 84

DOI: https://doi.org/10.2478/v10306-012-0005-6

Keywords
affinely connected spaces, special compositions, affinors of compositions

This content is open access.

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

Published Online: Feb 01, 2013

Page range: 76 - 84

DOI: https://doi.org/10.2478/v10306-012-0005-6

Keywordsaffinely connected spaces, special compositions, affinors of compositions

This content is open access.

Keywords
affinely connected spaces, special compositions, affinors of compositions