The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups

DOI10.1007/s10455-020-09744-3zbMath1459.53067arXiv2005.09494OpenAlexW3094965794MaRDI QIDQ2227510

Michael Albanese

Publication date: 15 February 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09494

zbMATH Keywords

Inoue surfacesYamabe invariantnon-KählerKodaira surfacescomplex surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global Riemannian geometry, including pinching (53C20) Complex manifolds (32Q99)

Related Items (2)

On the spectral sets of Inoue surfaces ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting)

Cites Work

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• A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds
• Instantons and curves on class VII surfaces
• Isoperimetric profile comparisons and Yamabe constants
• Yamabe invariants and the \(\mathrm{Pin}^-(2)\)-monopole equations
• Every K 3 surface is Kähler
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Complex and Kähler structures on compact solvmanifolds
• Surgery, Yamabe invariant, and Seiberg-Witten theory
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Scalar curvature of a metric with unit volume
• Erratum to ``Topology of Hopf surfaces
• On the structure of manifolds with positive scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• The classification of simply connected manifolds of positive scalar curvature
• Topology of Hopf surfaces
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Yamabe invariants and \(\text{spin}^c\) structures
• Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
• On compact Kähler surfaces
• Kodaira dimension and the Yamabe problem
• Yamabe constants and the perturbed Seiberg-Witten equations
• Minimal entropy and collapsing with curvature bounded from below
• Computations of the Yamabe invariant
• On surfaces of class VII\(_0\)
• The Seiberg-Witten invariants and symplectic forms
• On projectively flat Hermitian manifolds
• The Yamabe invariant of a class of symplectic 4-manifolds
• Curvature, connected sums, and Seiberg-Witten theory
• Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)
• Local Contractions and a Theorem of Poincare
• Einstein metrics, complex surfaces, and symplectic 4-manifolds
• CLASSIFICATION OF SURFACES OF CLASS VII₀WITHb₂= 0
• Compact complex manifolds containing “global” spherical shells
• PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII₀ SURFACES
• The Yamabe invariant of simply connected manifolds
• Entropy and collapsing of compact complex surfaces
• Donaldson theory in non-Kählerian geometry
• On surfaces of class VII with numerically anticanonical divisor
• On the Structure of Compact Complex Analytic Surfaces, II
• Normal Two-Dimensional Singularities. (AM-71)
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory

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