Acta mathematica scientia, Series B >
ON THE KÄ|HLER-RICCI SOLITONS WITH VANISHING BOCHNER-WEYL TENSOR
Received date: 2010-12-12
Revised date: 2011-02-16
Online published: 2012-05-20
Supported by
This work is supported by the National Natural Science Foundation of China under the grant numbers 11126073, and the Fundamental Research Funds for the Central Universities of SCUT under the grant number 2012ZB0017.
In this article, we study the steady, shrinking, and expanding Kähler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional curvature.
Key words： Ricci flow; Kahler Ricci soliton; Bochner-Weyl tensor
SU Yan-Hui , ZHANG Kun . ON THE KÄ|HLER-RICCI SOLITONS WITH VANISHING BOCHNER-WEYL TENSOR[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 1239 -1244 . DOI: 10.1016/S0252-9602(12)60095-2
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