Einstein metrics on \(S^2\)-bundles

DOI10.1007/s002080050158zbMath0898.53036OpenAlexW2049362725WikidataQ125993166 ScholiaQ125993166MaRDI QIDQ1384644

Jun Wang, McKenzie Y. K. Wang

Publication date: 2 November 1998

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050158

zbMATH Keywords

Einstein-Weyl structuresEinstein metricspositive first Chern classcompact Kähler-Einstein manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11)

Related Items (16)

Superpotentials and the cohomogeneity one Einstein equations ⋮ Diagonalizing cohomogeneity-one Einstein metrics ⋮ Ancient solutions of the Ricci flow on bundles ⋮ Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products ⋮ Non-compact Einstein manifolds with symmetry ⋮ Positive Einstein metrics with as the principal orbit ⋮ Compact conformally Kähler Einstein-Weyl manifolds ⋮ On Ricci solitons of cohomogeneity one ⋮ SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS ⋮ Examples of Einstein manifolds in odd dimensions ⋮ Classification of superpotentials ⋮ Non-compact cohomogeneity one Einstein manifolds ⋮ Einstein metrics of cohomogeneity one with \({\mathbb{S}}^{4m+3}\) as principal orbit ⋮ Invariant Ricci-flat metrics of cohomogeneity one with Wallach spaces as principal orbits ⋮ Perelman’s Entropy for Some Families of Canonical Metrics ⋮ Quasi-Einstein metrics on sphere bundles

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