Ricci-flat metrics on vector bundles over flag manifolds
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Publication:2187294
DOI10.1007/s00220-020-03759-4zbMath1440.53013arXiv1905.00412OpenAlexW3102382001MaRDI QIDQ2187294
Dmitri Bykov, Ismail Achmed-Zade
Publication date: 2 June 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00412
complex structures on flag manifoldsdeterminant of a metricgeneralized Calabi ansatzRicci-flatness equation
Differential geometry of homogeneous manifolds (53C30) Local differential geometry of Hermitian and Kählerian structures (53B35) Local Riemannian geometry (53B20)
Related Items (3)
Flag manifold sigma models. Spin chains and integrable theories ⋮ Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. II ⋮ Resolution à la Kronheimer of \(\mathbb{C}^3/\Gamma\) singularities and the Monge-Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravity
Cites Work
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- The geometry of antiferromagnetic spin chains
- Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities
- Examples of asymptotically conical Ricci-flat Kähler manifolds
- Auxiliary field methods in supersymmetric nonlinear sigma models
- Kerr-de Sitter black holes with NUT charges
- GLSMs for partial flag manifolds
- Invariant Kähler-Einstein metrics on compact homogeneous spaces
- Hamiltonian constructions of Kähler-Einstein metrics and Kähler metrics of constant scalar curvature
- Kähler-Einstein metrics of cohomogeneity one
- Ricci-flat metrics on the complexification of a compact rank one symmetric space
- Kaehler structures on toric varieties
- Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
- Quasi-potentials and Kähler-Einstein metrics on flag manifolds
- Quasi-potentials and Kähler-Einstein metrics on flag manifolds. II.
- Kähler manifolds with large isometry group
- Calabi-Yau metrics on canonical bundles of complex flag manifolds
- Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. I
- Resolutions of non-regular Ricci-flat Kähler cones
- Cohomogeneity one Kähler and Kähler-Einstein manifolds with one singular orbit. II
- Flag manifold $\sigma$-models: the $\frac{1}{N}$-expansion and the anomaly two-form
- Einstein manifolds
- Hamiltonian 2-forms in Kähler geometry. I: General theory
- A momentum construction for circle-invariant Kähler metrics
- Sasaki-Einstein Manifolds
- Characteristic Classes and Homogeneous Spaces, I
- Métriques kählériennes et fibrés holomorphes
- A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds
- Calabi's conjecture and some new results in algebraic geometry
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Ricci-flat Kähler metrics on canonical bundles
- Lectures on the Geometry of Flag Varieties
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