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Gap theorems for Kähler-Ricci solitons

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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.

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Authors and Affiliations

  1. Université Paris 12 - Val de Marne, 61 avenue du Général de Gaulle, 94010, Créteil, France

    Haozhao Li

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  1. Haozhao Li
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Correspondence to Haozhao Li.

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Received: 23 October 2007, Revised: 28 February 2008

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Li, H. Gap theorems for Kähler-Ricci solitons. Arch. Math. 91, 187–192 (2008). https://doi.org/10.1007/s00013-008-2628-6

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  • DOI: https://doi.org/10.1007/s00013-008-2628-6

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