Toric self-dual Einstein metrics as quotients

DOI10.1007/s00220-004-1192-6zbMath1083.53047arXivmath/0311145OpenAlexW3105111526MaRDI QIDQ2385985

Krzysztof Galicki, David M. J. Calderbank, Charles P. Boyer, Paolo Piccinni

Publication date: 22 August 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311145

zbMATH Keywords

self-dual Einstein metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Momentum maps; symplectic reduction (53D20)

Related Items (2)

Quaternionic Kähler reductions of Wolf spaces ⋮ Self-duality and associated parallel or cocalibrated G_2 structures

Cites Work

• Unnamed Item
• Unnamed Item
• Einstein metrics, spinning top motions and monopoles
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Quaternionic reduction and quaternionic orbifolds
• Counter-examples to the generalized positive action conjecture
• On complete quaternionic-Kähler manifolds
• Conjugacy classes in linear groups
• Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action
• Compact 3-Sasakian 7-manifolds with arbitrary second Betti number
• Selfdual Einstein metrics with torus symmetry
• Self-dual metrics on the ball
• Einstein metrics and complex singularities
• Twistor spaces, Einstein metrics and isomonodromic deformations
• Bochner-Kähler metrics
• ℋ -Space with a cosmological constant
• Multi-centre metrics with negative cosmological constant
• The geometry and topology of toric hyperkähler manifolds

This page was built for publication: Toric self-dual Einstein metrics as quotients