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A REMARK ON KÄHLER METRICS OF CONSTANT SCALAR CURVATURE ON RULED COMPLEX SURFACES

Published online by Cambridge University Press:  31 May 2006

V. APOSTOLOV
Affiliation:
Département de Mathématiques, UQAM, C.P. 8888, Succ. Centre-ville, Montréal (Québec), H3C 3P8, [email protected]
C. TØNNESEN-FRIEDMAN
Affiliation:
Department of Mathematics, Union College, Schenectady, New York 12308, [email protected]
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Abstract

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.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2006

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