Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action
From MaRDI portal
Publication:1298167
DOI10.1007/s002080050305zbMath0952.53024arXivmath/9808134OpenAlexW1622774191MaRDI QIDQ1298167
Publication date: 14 January 2001
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9808134
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items
Harmonic morphisms and moment maps on hyper-Kähler manifolds ⋮ 7D supersymmetric Yang-Mills on a 3-Sasakian manifold ⋮ Twists versus modifications ⋮ Toric self-dual Einstein metrics as quotients ⋮ Barrier methods for minimal submanifolds in the Gibbons-Hawking ansatz ⋮ On the Taub-NUT type hyper-Kähler metrics on the Hilbert schemes of \(n\) points on \(\mathbb{C}^2\) ⋮ High rank torus actions on contact manifolds ⋮ Algebraic torus actions on contact manifolds ⋮ Hyper-Kähler sigma models on (co)tangent bundles with \(\text{SO}(n)\) isometry ⋮ Hypertoric manifolds of infinite topological type ⋮ Geodesics on a K3 surface near the orbifold limit ⋮ The volume growth of hyper-Kähler manifolds of type \(A_{\infty }\) ⋮ Hyperkähler metric and GMN ansatz on focus-focus fibrations ⋮ Scalar-flat Kähler metrics on non-compact symplectic toric 4-manifolds ⋮ On positive quaternionic Kähler manifolds with \(b_{4} = 1\) ⋮ Toric self-dual Einstein metrics on compact orbifolds ⋮ \(SO\) and \(USp\) Kähler and hyper-Kähler quotients and lumps ⋮ Rigidity for Multi-Taub-NUT metrics ⋮ Toric geometry of \(\operatorname{G}_2\)-manifolds ⋮ On positive quaternionic Kähler manifolds with certain symmetry rank ⋮ Equivariant cohomology distinguishes the geometric structures of toric hyperkähler manifolds ⋮ VARIATION OF TORIC HYPERKÄHLER MANIFOLDS ⋮ Self dual Einstein orbifolds with few symmetries as quaternion Kähler quotients ⋮ Classification of positive quaternion-Kähler 12-manifolds ⋮ The Gibbons-Hawking ansatz in generalized Kähler geometry
This page was built for publication: Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action