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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  and
C. TØNNESEN-FRIEDMAN
V. APOSTOLOV
Affiliation:
Département de Mathématiques, UQAM, C.P. 8888, Succ. Centre-ville, Montréal (Québec), H3C 3P8, Canadaapostolo@math.uqam.ca
C. TØNNESEN-FRIEDMAN
Affiliation:
Department of Mathematics, Union College, Schenectady, New York 12308, USAtonnesec@union.edu
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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

53C5558E11
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 3 , June 2006 , pp. 494 - 500
Copyright
© The London Mathematical Society 2006

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