A remark on Kähler metrics of constant scalar curvature on ruled complex surfaces

Abstract

We point out how some recent developments in the theory of constant scalar curvature Kähler metrics can be used to clarify the existence issue for such metrics in the special case of geometrically ruled complex surfaces.

Corrected typos, updated references

References in corpus (2)

• Algebraic and Analytic K-Stability
• An obstruction to the existence of constant scalar curvature Kähler metrics

Cited by in corpus (2)

• An obstruction to the existence of constant scalar curvature Kähler metrics
• Hamiltonian 2-forms in Kahler geometry, III Compact examples