Pluriclosed Flow and the Geometrization of Complex Surfaces
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Publication:3300613
DOI10.1007/978-3-030-34953-0_19zbMath1444.32018arXiv1808.09490OpenAlexW2889134358MaRDI QIDQ3300613
Publication date: 29 July 2020
Published in: Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.09490
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact complex surfaces (32J15) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)
Related Items (20)
On Strominger Kähler-like manifolds with degenerate torsion ⋮ The Chern-Ricci flow ⋮ Hermitian curvature flow on complex locally homogeneous surfaces ⋮ On the Gauduchon curvature of Hermitian manifolds ⋮ Four-dimensional generalized Ricci flows with nilpotent symmetry ⋮ Variational structure and uniqueness of generalized Kähler-Ricci solitons ⋮ Pluriclosed flow and Hermitian-symplectic structures ⋮ Infinite families of homogeneous Bismut Ricci flat manifolds ⋮ Bismut Ricci flat manifolds with symmetries ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow ⋮ Strominger connection and pluriclosed metrics ⋮ Stability and moduli space of generalized Ricci solitons ⋮ On the pluriclosed flow on Oeljeklaus–Toma manifolds ⋮ On the curvature of the Bismut connection: Bismut-Yamabe problem and Calabi-Yau with torsion metrics ⋮ Bochner formulas, functional inequalities and generalized Ricci flow ⋮ On the dynamical behaviour of the generalized Ricci flow ⋮ Griffiths positivity for Bismut curvature and its behaviour along Hermitian curvature flows ⋮ Structure of collapsing solutions of generalized Ricci flow ⋮ Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations ⋮ On Gauduchon Kähler-like manifolds
Cites Work
- Unnamed Item
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- Evans-Krylov estimates for a nonconvex Monge-Ampère equation
- Inoue surfaces and the Chern-Ricci flow
- Regularity results for pluriclosed flow
- Generalized Kähler geometry
- Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
- Generalized Kähler geometry and the pluriclosed flow
- The Kähler-Ricci flow through singularities
- Generalized geometry, \(T\)-duality, and renormalization group flow
- Anti-self-dual bihermitian structures on Inoue surfaces
- Instantons and curves on class VII surfaces
- Generalized complex geometry
- On Calabi's conjecture for complex surfaces with positive first Chern class
- Every K 3 surface is Kähler
- Instantons, Poisson structures and generalized Kähler geometry
- A gradient flow for worldsheet nonlinear sigma models
- Regularity and expanding entropy for connection Ricci flow
- Notes on Perelman's papers
- Ricci Yang-Mills flow on surfaces
- La 1-forme de torsion d'une variété hermitienne compacte
- Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
- Geometric structures on compact complex analytic surfaces
- Surfaces of class \(VII_ 0\) with curves
- Complete Kähler manifolds with zero Ricci curvature. II
- Structures affines et projectives sur les surfaces complexes. (Affine and projective structures on complex surfaces)
- Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
- On compact Kähler surfaces
- Neron-Severi group for nonalgebraic elliptic surfaces. II: Non-Kählerian case
- Complex structures on Riemannian four-manifolds
- Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4
- Class VII\(_0\) surfaces with \(b_2\) curves.
- Surfaces of the class VII\(_0\) admitting a vector field
- Pluriclosed flow on generalized Kähler manifolds with split tangent bundle
- Une construction élémentaire des surfaces d'Inoue-Hirzebruch. (An elementary construction of Inoue-Hirzebruch surfaces)
- Three-manifolds with positive Ricci curvature
- An obstruction to the existence of Einstein Kaehler metrics
- On surfaces of class VII\(_0\)
- Hilbert modular surfaces
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
- On projectively flat Hermitian manifolds
- Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces
- On the evolution of a Hermitian metric by its Chern-Ricci form
- Classification of solitons for pluriclosed flow on complex surfaces
- Hermitian curvature flow
- On the Kähler-Ricci flow on projective manifolds of general type
- The Kähler-Ricci flow on surfaces of positive Kodaira dimension
- Bi-hermitian metrics on del Pezzo surfaces
- Generalized Kähler manifolds, commuting complex structures, and split tangent bundles
- The pseudo-effective cone of a non-Kählerian surface and applications
- Collapsing of the Chern-Ricci flow on elliptic surfaces
- Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Homogeneous solutions of pluriclosed flow on closed complex surfaces
- Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
- Perelman’s entropy and Kähler-Ricci flow on a Fano manifold
- The Kähler–Ricci flow on Hirzebruch surfaces
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- Continuity of Solutions of Parabolic and Elliptic Equations
- Structure des surfaces de Kato
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- 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
- PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII0 SURFACES
- Bihermitian Structures on Complex Surfaces
- Generalized Calabi-Yau Manifolds
- Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
- Convergence of the Kähler–Ricci flow on Fano manifolds
- A Parabolic Flow of Pluriclosed Metrics
- The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
- The Kähler–Ricci Flow on Projective Bundles
- On surfaces of class VII with numerically anticanonical divisor
- On the Structure of Compact Complex Analytic Surfaces, I
- On the Structure of Compact Complex Analytic Surfaces, II
- Complete Kahler Manifolds with Zero Ricci Curvature. I
- Surfaces of the class VII\(_0\) admitting a vector field. II
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