Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures
From MaRDI portal
Publication:346745
DOI10.1515/crelle-2014-0060zbMath1355.32018arXiv1302.6975OpenAlexW2963712867MaRDI QIDQ346745
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
Publication date: 30 November 2016
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6975
Related Items (24)
The Einstein-Maxwell equations and conformally Kähler geometry ⋮ Killing and conformal Killing tensors ⋮ Euclidean supersymmetric solutions with the self-dual Weyl tensor ⋮ Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces ⋮ Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group ⋮ Bach-flat Lie groups in dimension 4 ⋮ Extremal Kähler Poincaré type metrics on toric varieties ⋮ The CR geometry of weighted extremal Kähler and Sasaki metrics ⋮ Rotationally symmetric conformal Kähler, Einstein-Maxwell metrics ⋮ About a family of ALF instantons with conical singularities ⋮ A Note on Extremal Toric Almost Kähler Metrics ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ Globally conformally Kähler Einstein metrics on certain holomorphic bundles ⋮ Volume minimization and conformally Kähler, Einstein-Maxwell geometry ⋮ Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics ⋮ Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces ⋮ ALE scalar-flat Kähler metrics on non-compact weighted projective spaces ⋮ Conformally Kähler surfaces and orthogonal holomorphic bisectional curvature ⋮ Kähler metrics via Lorentzian geometry in dimension four ⋮ Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions ⋮ Einstein–Maxwell Equations on Four-dimensional Lie Algebras ⋮ Conformally related Riemannian metrics with non-generic holonomy ⋮ The Einstein-Maxwell equations, Kähler metrics, and Hermitian geometry ⋮ On Kähler conformal compactifications of \(U(n)\)-invariant ALE spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toric geometry of convex quadrilaterals
- Bi-Hermitian Gray surfaces II
- Conformal duality and compact complex surfaces
- Rotating, charged, and uniformly accelerating mass in general relativity
- Einstein-like manifolds which are not Einstein
- Extremal Kähler metrics and Hamiltonian functions
- Kaehler structures on toric varieties
- Conformal Killing forms on Riemannian manifolds
- Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
- Compact Kähler surfaces with harmonic anti-self-dual Weyl tensor.
- Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
- Bihermitian Gray surfaces
- Hamiltonian 2-forms in Kähler geometry. I: General theory
- Hamiltonian 2-forms in Kähler geometry. II: Global classification
- Bochner-Kähler metrics
- Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
- A momentum construction for circle-invariant Kähler metrics
- Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds
- The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory
- On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
- KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
- Extremal Kähler metrics on minimal ruled surfaces
- Twistor bundles, Einstein equations and real structures
- The Riemannian Goldberg–Sachs Theorem
- Extremal Kähler metrics and Hamiltonian functions II
- Distinguished Kahler Metrics on Hirzebruch Surfaces
- Einstein Metrics on Complex Surfaces
- A NEW LOOK AT THE PLEBAŃSKI–DEMIAŃSKI FAMILY OF SOLUTIONS
- Bernstein-Gelfand-Gelfand sequences
This page was built for publication: Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures