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

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

2004-11-11

arxiv.org/abs/math/0411271v3

Mathematics

Differential Geometry

Corrected typos, updated references

Scientific paper

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

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