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This is a Quantitative Study study.

September 29, 2025Open Access

On quasi-Einstein manifolds with constant scalar curvature

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Classification of quasi-einstein manifolds reveals critical insights into their geometric structures, including those with boundaries.
New explicit examples of noncompact quasi-einstein manifolds are constructed, extending the understanding of their properties.
The study provides complete classification for 3-dimensional m-quasi-einstein manifolds with constant scalar curvature.
Implications for understanding the relationships between the cotton tensor and the weyl tensor are highlighted.

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This analysis classifies quasi-einstein manifolds with constant scalar curvature, suggesting new examples and insights.

Costa et al. (2025) studied this question.

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