Four-dimensional quasi-Einstein non-reductive homogeneous spaces are Einstein
DOI:
https://doi.org/10.17398/Keywords:
non-reductive, homogeneous space, quasi-EinsteinAbstract
We investigate quasi-Einstein structures on four-dimensional non-reductive homogeneous spaces. We show that contrary to the Ricci solitons structures, quasi-Einstein structures display a strong rigidity in the sense that every such a structure is necessarily Einstein.
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