Invariant metrics of positive Ricci curvature on principal bundles

DOI10.1007/PL00004385zbMath0897.53028MaRDI QIDQ1384615

Wilderich Tuschmann, Jeong Hyeong Park, Peter B. Gilkey

Publication date: 28 September 1998

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

zbMATH Keywords

Riemannian metricRicci curvatureprincipal bundle

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

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Generalized surgery on Riemannian manifolds of positive Ricci curvature ⋮ Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions ⋮ The concept of Cheeger deformations on fiber bundles with compact structure group ⋮ Ricci positive metrics on the moment-angle manifolds ⋮ On the moment-angle manifolds of positive Ricci curvature ⋮ Nonnegatively and positively curved invariant metrics on circle bundles ⋮ Positive Ricci curvature on fiber bundles with compact structure group ⋮ How to lift positive Ricci curvature ⋮ The Gibbons-Hawking ansatz in generalized Kähler geometry

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