Some results on compact Kähler surfaces with non-positive bisectional curvature

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Abstract

In 1961 L. Frankel conjectured that any compact Kähler manifold of positive bisectional curvature is biholomorphic to a projective space. This was solved by S. Mori in 1979 and Siu and Yau in 1980. N. Mok in 1988 gave a full solution to the generalized Frankel's conjecture and proposed a dual problem. The results in this paper are attempts to give modified solutions to this problem in complex dimension two.

Original languageEnglish
Pages (from-to)65-70
Number of pages6
JournalGeometriae Dedicata
Volume145
Issue number1
DOIs
Publication statusPublished - 2010 Mar 1

Keywords

  • Frankel's conjecture
  • Kähler surfaces
  • Uniformization

ASJC Scopus subject areas

  • Geometry and Topology

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