On the Pseudo-Riemannian spaces with a special structure of a curvature tensor

Lesechko, O.; Makarenko, L.; Sokolova, L.

doi:10.1063/5.0034022

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Conformally Almost Reducible Spaces1

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2021

2022

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Cited by 7 publications

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“…A space V n is called a conformally reducible, whenever its metric in a certain holonomic system of coordinates takes the following form, [2,4,18]:…”

Section: Conformally Almost Reducible Spacesmentioning

confidence: 99%

On conformally reducible pseudo-Riemannian spaces

Shevchenko

Спічак

Дойков

2021

PIGC

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The present paper studies the main type of conformal reducible conformally flat spaces. We prove that these spaces are subprojective spaces of Kagan, while Riemann tensor is defined by a vector defining the conformal mapping. This allows to carry out the complete classification of these spaces. The obtained results can be effectively applied in further research in mechanics, geometry, and general theory of relativity. Under certain conditions the obtained equations describe the state of an ideal fluid and represent quasi-Einstein spaces. Research is carried out locally in tensor shape.

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“…A space V n is called a conformally reducible, whenever its metric in a certain holonomic system of coordinates takes the following form, [2,4,18]:…”

Section: Conformally Almost Reducible Spacesmentioning

confidence: 99%