Work

Semi-reducible pseudo-Riemannian spaces with additional conditions

Year: 2025

Type: article

Abstract: We consider semi-reducible pseudo-Riemannian spaces with algebraic conditions on the Ricci tensor and the Riemann tensor. For almost Einstein and weakly recurrent spaces we find the type of tensor characteristic of semi-reducibility. Semi-reducible almost Einstein spaces and weakly recurrent spaces are divided into types depending on the properties of the vector fields that exist in them by necessity. The study is carried out locally in the tensor form.

Source: Proceedings of the International Geometry Center

DOI: 10.15673/pigc.v18i2.3035

Authors: Yuliia Fedchenko, Oleksandr Lesechko, Yanina Marianko

Institution: Odessa State Academy of Civil Engineering and Architecture

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414554045

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Cites: 20

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