Rigidity for Multi-Taub-NUT metrics

DOI10.1515/CRELLE.2011.042zbMath1223.53053arXiv0910.5792OpenAlexW2964069018MaRDI QIDQ5198590

Vincent Minerbe

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5792

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)

Related Items (15)

Twists versus modifications ⋮ Asymptotically conical Calabi-Yau manifolds. I ⋮ The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds ⋮ On toric Hermitian ALF gravitational instantons ⋮ Gravitational Instantons and Degenerations of Ricci-flat Metrics on the K3 Surface ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ A Kummer construction for gravitational instantons ⋮ ALE Ricci-flat Kähler metrics and deformations of quotient surface singularities ⋮ On the geometry of asymptotically flat manifolds ⋮ Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface ⋮ From ALE to ALF gravitational instantons ⋮ Gravitational instantons with faster than quadratic curvature decay. III. ⋮ Existence and uniqueness of asymptotically flat toric gravitational instantons ⋮ Gravitational instantons with faster than quadratic curvature decay. II ⋮ Gravitational instantons from rational elliptic surfaces

Cites Work

• Dihedral singularities and gravitational instantons
• Gravitational instantons of type \(D_{k}\)
• Weighted Sobolev inequalities and Ricci flat manifolds
• Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action
• Singular monopoles and gravitational instantons
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• A mass for ALF manifolds

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