Abstract
In this paper, warped product mixed generalized quasi-Einstein manifolds MG(QE)\(_{n}\) are studied. It is shown that a Ricci recurrent MG(QE)\(_{n}\) manifold is a product manifold whose factors are Ricci recurrent. Sufficient conditions for a MG(QE)\(_{n}\) to be a G(QE)\(_{n}\) are derived. Then, we classify three types of warped product MG(QE)\(_{n}\). For example, it is proved that the fiber manifold is Einstein in the first type, (QE)\(_{n}\) in the second type and MG(QE)\(_{n}\) in the third type.
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The authors would like to thank the referees for the careful review and the valuable comments, which provided insights that helped us to improve the quality of the article.
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Communicated by Majid Soleimani-damaneh.
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De, U.C., El-Sayied, H.K., Syied, N. et al. Mixed Generalized Quasi-Einstein Warped Product Manifolds. Bull. Iran. Math. Soc. 48, 1311–1324 (2022). https://doi.org/10.1007/s41980-021-00582-y
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DOI: https://doi.org/10.1007/s41980-021-00582-y