Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (4): 26-30.doi: 10.3969/j.issn.1000-5641.2022.04.003

• Mathematics • Previous Articles     Next Articles

Gradient shrinking Kähler-Ricci solitons with vanishing conditions on a Bochner tensor

Dong SHEN(), Jiancheng LIU*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2020-12-16 Online:2022-07-25 Published:2022-07-19
  • Contact: Jiancheng LIU E-mail:1539963270@qq.com;liujc@nwnu.edu.cn

Abstract:

In this paper, we study complete gradient shrinking K?hler-Ricci solitons with a vanishing fourth-order Bochner tensor (i.e. $\text{div}^{4}(W)=\nabla_{\bar{k}}\nabla_{j}\nabla_{\bar{i}}\nabla_{l}W_{i\bar{j}k\bar{l}}=0$ ), and obtain the corresponding classification results.

Key words: K?hler-Ricci soliton, Bochner tensor, harmonic Bochner tensor

CLC Number: