##plugins.themes.bootstrap3.article.main##
Abstract
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.
##plugins.themes.bootstrap3.article.details##
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.
Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories, disciplinary repositories, or on their website) prior to and during the submission process.