Non-compact cohomogeneity one Einstein manifolds

DOI10.24033/bsmf.2345zbMath0935.53021OpenAlexW2500662118MaRDI QIDQ4700598

Christoph Böhm

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_1_135_0

zbMATH Keywords

Einstein metricRicci flat metriccohomogeneity one manifoldLjapunov function

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (18)

Superpotentials and the cohomogeneity one Einstein equations ⋮ On cohomogeneity one Hermitian non-Kähler metrics ⋮ On the mass of static metrics with positive cosmological constant: I ⋮ Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds ⋮ Ricci solitons, conical singularities, and nonuniqueness ⋮ A note on four-dimensional (anti-)self-dual quasi-Einstein manifolds ⋮ Non-compact Einstein manifolds with symmetry ⋮ Smooth metric measure spaces, quasi-Einstein metrics, and tractors ⋮ Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory ⋮ Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow ⋮ Local and global scalar curvature rigidity of Einstein manifolds ⋮ Cohomogeneity one topological manifolds revisited ⋮ New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\) ⋮ Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces ⋮ Einstein metrics of cohomogeneity one with \({\mathbb{S}}^{4m+3}\) as principal orbit ⋮ On the completeness of some Bianchi type a and related Kähler-Einstein metrics ⋮ On the mass of static metrics with positive cosmological constant: II. ⋮ Uniqueness of warped product Einstein metrics and applications

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