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Quasi-Einstein metrics on hypersurface families

Abstract

We construct quasi-Einstein metrics on some hypersurface families. The hypersurfaces are circle bundles over the product of Fano, K\"ahler-Einstein manifolds. The quasi-Einstein metrics are related to various gradient K\"ahler-Ricci solitons constructed by Dancer and Wang and some Hermitian, non-K\"ahler, Einstein metrics constructed by Wang and Wang on the same manifolds.Comment: 11 pages, v2 expanded and references added. To appear in J. Geom. Phy

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