The nondegenerate generalized Kähler Calabi-Yau problem
From MaRDI portal
Publication:2043605
DOI10.1515/crelle-2021-0016zbMath1471.32036arXiv1703.08650OpenAlexW3158314416WikidataQ125705039 ScholiaQ125705039MaRDI QIDQ2043605
Jeffrey Streets, Vestislav Apostolov
Publication date: 3 August 2021
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08650
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Compact Kähler manifolds: generalizations, classification (32J27)
Related Items (9)
Generalized Kähler-Ricci flow on toric Fano varieties ⋮ Matsushima-Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type ⋮ Variational structure and uniqueness of generalized Kähler-Ricci solitons ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ On a Calabi-type estimate for pluriclosed flow ⋮ Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations ⋮ Classification of solitons for pluriclosed flow on complex surfaces ⋮ The Gibbons-Hawking ansatz in generalized Kähler geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A variational approach to complex Monge-Ampère equations
- Regularity results for pluriclosed flow
- Generalized Kähler geometry
- Generalized Kähler geometry and the pluriclosed flow
- Generalized complex geometry
- Variétés kähleriennes dont la première classe de Chern est nulle
- Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
- Instantons, Poisson structures and generalized Kähler geometry
- The geometry of recursion operators
- La 1-forme de torsion d'une variété hermitienne compacte
- Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
- A local index theorem for non-Kähler manifolds
- Complex structures on Riemannian four-manifolds
- Pluriclosed flow on generalized Kähler manifolds with split tangent bundle
- Numerical characterization of the Kähler cone of a compact Kähler manifold
- Examples of compact holomorphic symplectic manifolds which are not Kählerian. II
- Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces
- Generalized Calabi-Yau metric and generalized Monge-Ampère equation
- Scalar curvature as moment map in generalized Kähler geometry
- Toric generalized Kähler structures
- Hermitian curvature flow
- The Hamiltonian geometry of the space of unitary connections with symplectic curvature
- Curvatures of Sobolev metrics on diffeomorphism groups
- Vanishing theorems and string backgrounds
- Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
- Lectures on K3 Surfaces
- 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
- Fibrés hermitiens à endomorphisme de Ricci non négatif
- Compatible complex structures on almost quaternionic manifolds
- Bihermitian Structures on Complex Surfaces
- GENERALIZED CALABI–YAU STRUCTURES, K3 SURFACES, AND B-FIELDS
- Generalized Calabi-Yau Manifolds
- EXAMPLES OF COMPACT HOLOMORPHIC SYMPLECTIC MANIFOLDS WHICH ARE NOT KÄHLERIAN III
- A Parabolic Flow of Pluriclosed Metrics
- Vanishing theorems on Hermitian manifolds
This page was built for publication: The nondegenerate generalized Kähler Calabi-Yau problem
