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A Remark on Kähler Metrics of Constant Scalar Curvature on Ruled Complex Surfaces
Author(s) -
Apostolov V.,
TønnesenFriedman C.
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018480
Subject(s) - mathematics , scalar curvature , curvature , scalar (mathematics) , constant (computer programming) , mathematics subject classification , pure mathematics , mathematical analysis , geometry , computer science , programming language
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.