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arxiv: 1204.6430 · v2 · pith:HBU4QCQSnew · submitted 2012-04-28 · 🧮 math.DG

Quasi-Einstein metrics on hypersurface families

classification 🧮 math.DG
keywords metricsquasi-einsteinwangconstructedfamilieshypersurfacemanifoldssome
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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.

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