Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy

In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration. Indeed, we give a complete classification of the cases giving...

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Bibliographic Details
Main Author: Yadollah Aryanejad
Format: Article
Language:fas
Published: University of Isfahan 2022-05-01
Series:ریاضی و جامعه
Subjects:
Online Access:https://math-sci.ui.ac.ir/article_26630_62dd2715190705c97b25625ccb3d9349.pdf