2024
DOI: 10.5922/0321-4796-2024-55-2-6
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Analogues of torsion-free and curvature-free connections with a torsion non-tensor and a curvature non-tensor

K. V. Polyakova

Abstract: The paper is devoted to affine connection in the frame bundle associ­ated with a manifold which structure equations and derivation formulas are constructed using deformations of the exterior and ordinary differen­tials. Curvature and torsion objects of this connection are not tensors. A cha­racteristic of a curvature which is a convolution of a deformation tensor and a torsion, is considered. Torsion-free connections are not distingui­shed on the introduced manifold, even in the case of symmetric deforma­tion,… Show more

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