Four-dimensional Einstein manifolds with Heisenberg symmetry

DOI10.1007/s10231-021-01149-8zbMath1502.53079arXiv2104.07280OpenAlexW3197386754MaRDI QIDQ2143341

Yanyan Li

Publication date: 31 May 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07280

zbMATH Keywords

Einstein metricscohomogeneity one

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (2)

Heisenberg-invariant self-dual Einstein manifolds ⋮ Einstein metrics on bundles over Hyperkähler manifolds

Cites Work

• \(SU(2)\) solutions to self-duality equations in eight dimensions
• String loop corrected hypermultiplet moduli spaces
• Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics
• Isometry groups on homogeneous nilmanifolds
• Quaternionic Kähler metrics associated with special Kähler manifolds
• A class of homogeneous cosmological models
• String loop corrections to the universal hypermultiplet
• Symmetries of quaternionic Kähler manifolds with S1‐symmetry
• Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface
• Unnamed Item

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