Archive | 2021
Special semi-reducible pseudo-Riemannian spaces
Abstract
\nThe paper contains necessary conditions allowing to reduce matrix tensors of pseudo-Riemannian spaces to special forms called semi-reducible, under assumption that the tensor defining tensor characteristic of semireducibility spaces, is idempotent. \nThe tensor characteristic is reduced to the spaces of constant curvature, Ricci-symmetric spaces and conformally flat pseudo-Riemannian spaces. \n \nThe obtained results can be applied for construction of examples of spaces belonging to special types of pseudo-Riemannian spaces. \n \nThe research is carried out locally in tensor shape, without limitations imposed on a sign of a metric. \n \n\xa0