Archiv der Mathematik

August 2008, Volume 91, Issue 2, pp 187–192 | Cite as

Gap theorems for Kähler-Ricci solitons

• Authors
• Authors and affiliations

• Haozhao LiEmail author

Article

First Online: 05 August 2008

Abstract.

In this paper, we prove that a gradient shrinking compact Kähler-Ricci soliton cannot have too large Ricci curvature unless it is Kähler-Einstein.

Mathematics Subject Classification (2000).

Primary 53C55 Secondary 32J25 

Keywords.

Kähler-Ricci soliton Futaki invariant 

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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

• Haozhao Li
  • 1
  Email author

1. 1.Université Paris 12 - Val de MarneCréteilFrance