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
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.