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Bulletin of the MRSU / Section "Physics and mathematics" / 2011 № 1.

 

O.A. Matveev, E.L. Nesterenko

[ON LOCAL INVARIANT AFFINE CONNECTED SPACES] In: Bulletin of the Moscow Regional State University (electronic journal) [Bulletin of the Moscow Regional State University (electronic journal)], 2011, no. 1, pp. 167-175.


UDC Index: 514.76/+512.54

Date of publication:

The full text of the article

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Abstract


In this paper the necessary and sufficient conditions for the wide class locally invariant affine connected manifolds are found. The cases of locally invariance of an affine connected space with respect to reductive and symmetric spaces are considered.

Key words


affine connection, locally invariance, reductive space, almost symmetric space, quasigroup

List of references


Лицензия Creative Commons