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

In this paper 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. 2000 Mathematics Subject Classification 53C55, 58E11.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2006-06, Vol.38 (3), p.494-500
Hauptverfasser: APOSTOLOV, V., TØNNESEN-FRIEDMAN, C.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper 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. 2000 Mathematics Subject Classification 53C55, 58E11.
ISSN:0024-6093
1469-2120
DOI:10.1112/S0024609306018480