Special semi-reducible pseudo-Riemannian spaces

dc.contributor.authorЮлія Степанівна Федченко, Олександр Васильович Лесечко
dc.date.accessioned2023-05-10T13:21:49Z
dc.date.available2023-05-10T13:21:49Z
dc.date.issued2021
dc.description.abstract
 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.
 
  
dc.identifier.issn2409-8906
dc.identifier.urihttps://card-file.ontu.edu.ua/handle/123456789/24979
dc.sourceProceedings of the International Geometry Center
dc.titleSpecial semi-reducible pseudo-Riemannian spaces
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