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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2013 Issue 2(9), Pages 34–36 (Mi irj448)

PHYSICS AND MATHEMATICS

The sectional curvature of a three-dimensional Riemannian homogeneous spaces

N. P. Mozhei

KSU

Abstract: The aim of the work is the description of invariant affine connections on three-dimensional homogeneous spaces. A complete local classification of homogeneous spaces, which is equivalent to the description of the effective pairs of Li algebras allowing invariant a bilinear form on the isotropic module.

Keywords: affine connections, homogeneous spaces, Lie algebras.



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