Locally homogeneous non-gradient quasi-Einstein 3-manifolds
نویسندگان
چکیده
Abstract In this paper, we classify the compact locally homogeneous non-gradient m -quasi Einstein 3- manifolds. Along way, also prove that given a quotient of Lie group any dimension is Einstein, potential vector field X must be left invariant and Killing. We nontrivial metrics are product two metrics. show S 1 only manifold which admits metric nontrivially Einstein.
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ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2022
ISSN: ['1615-715X', '1615-7168']
DOI: https://doi.org/10.1515/advgeom-2021-0036