Том 14 № 1

Постійне посилання зібрання

Зараз показуємо 1 - 1 з 1

Special semi-reducible pseudo-Riemannian spaces
(2021) Юлія Степанівна Федченко, Олександр Васильович Лесечко
The 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. The tensor characteristic is reduced to the spaces of constant curvature, Ricci-symmetric spaces and conformally flat pseudo-Riemannian spaces. The obtained results can be applied for construction of examples of spaces belonging to special types of pseudo-Riemannian spaces. The research is carried out locally in tensor shape, without limitations imposed on a sign of a metric.