Canonical metrics on holomorphic Courant algebroids

DOI10.1112/plms.12468zbMath1523.32043arXiv1803.01873OpenAlexW2792368114MaRDI QIDQ6051537

Roberto Rubio, Carl Tipler, Mario García-Fernández, Carlos S. Shahbazi

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01873

zbMATH Keywords

Calabi conjecturenon-Kähler manifolds

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Generalized geometries (à la Hitchin) (53D18)

Related Items (5)

A heterotic Kodaira-Spencer theory at one-loop ⋮ Ricci flow, Killing spinors, and T-duality in generalized geometry ⋮ Special Lagrangian cycles and Calabi-Yau transitions ⋮ Stability of the tangent bundle through conifold transitions ⋮ The Heterotic-Ricci flow and its three-dimensional solitons

Cites Work

• Compact homogeneous locally conformally Kähler manifolds
• Generalized Kähler geometry
• String structures and canonical 3-forms
• Stable bundles on hypercomplex surfaces
• Matched pairs of Courant algebroids
• On the existence of special metrics in complex geometry
• Non-Kaehler heterotic string compactifications with non-zero fluxes and constant dilaton
• Metrics on complex manifolds
• Morse-Novikov cohomology of locally conformally Kähler manifolds
• La 1-forme de torsion d'une variété hermitienne compacte
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Erratum: Compact differentiable 4-folds with quaternionic structures
• Moduli spaces for Hopf surfaces
• Compact differentiable 4-folds with quaternionic structures
• Locally conformally Kähler metrics on Hopf surfaces
• Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4
• On the metric structure of non-Kähler complex surfaces
• New curvature flows in complex geometry
• Geometric flows and Strominger systems
• Hermitian-Einstein connections and stable vector bundles over compact complex surfaces
• An obstruction to the existence of Einstein Kaehler metrics
• On the computation of the Lichnerowicz--Jacobi cohomology.
• The tangent bundle of a Calabi-Yau manifold. Deformations and restriction to rational curves
• Vanishing theorems on \((\ell | k)\)-strong Kähler manifolds with torsion
• Fu-Yau Hessian equations
• T-dual solutions of the Hull-Strominger system on non-Kähler threefolds
• A construction of infinitely many solutions to the Strominger system
• Balanced Hermitian geometry on 6-dimensional nilmanifolds
• Invariant solutions to the Strominger system and the heterotic equations of motion
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• The Fu-Yau equation in higher dimensions
• Ricci flow, Killing spinors, and T-duality in generalized geometry
• Generalized cohomologies and supersymmetry
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• The existence of supersymmetric string theory with torsion
• Relations between the Kähler cone and the balanced cone of a Kähler manifold
• The Hamiltonian geometry of the space of unitary connections with symplectic curvature
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons
• Vanishing theorems and string backgrounds
• On the Bott–Chern cohomology and balanced Hermitian nilmanifolds
• On Bismut flat manifolds
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
• Calabi's conjecture and some new results in algebraic geometry
• Fibrés hermitiens à endomorphisme de Ricci non négatif
• Generalized Calabi-Yau Manifolds
• Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
• Holomorphic string algebroids
• Lectures on the Strominger system
• The first Pontryagin class
• Shifted Symplectic Lie Algebroids
• Generalized Calabi-Gray Geometry and Heterotic Superstrings
• On Bott-Chern cohomology of compact complex surfaces
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