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Obstuctions to the Existence of Kähler-Einstein Metrics

  • Yum-Tong Siu
Part of the DMV Seminar book series (OWS, volume 8)

Abstract

In this chapter we discuss the two obstructions to the existence of Kähler-Einstein metrics for the case of positive anticanonical class. The first one is the non-reductivity of the automorphism group discovered by Matsushima [M] and Lichnerowicz [Li]. the second one is the nonvanishing of an invariant for holomorphic vector fields due to Kazdan, Warner [K-W], and Futaki [F].

Keywords

Vector Field Line Bundle Automorphism Group Gaussian Curvature Compact Complex Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel 1987

Authors and Affiliations

  • Yum-Tong Siu
    • 1
  1. 1.Department of Mathematics Science CenterHarvard UniversityCambridgeUSA

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