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, Kähler-Einstein manifolds. The quasi-Einstein metrics are related to various gradient Kähler-Ricci solitons constructed by Dancer and Wang and some Hermitian, non-Kähler, Einstein metrics constructed by Wang and Wang on the same manifolds.

11 pages, v2 expanded and references added. To appear in J. Geom. Phys

References in corpus (1)

• New Inhomogeneous Einstein Metrics on Sphere Bundles Over Einstein-Kahler Manifolds

Cited by in corpus (5)

• Cohomogeneity one Ricci Solitons from Hopf Fibrations
• Conformally Kähler geometry and quasi-Einstein metrics
• Quasi-Einstein metrics on sphere bundles
• Cohomogeneity-One Quasi-Einstein Metrics
• Perelman's entropy for some families of canonical metrics