Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor
Shu-Cheng Chang, Hongbing Qiu
公開日: 2025/9/1
Abstract
We establish integral curvature estimates for complete gradient shrinking Sasaki-Ricci solitons. As an application, we show that any such soliton with harmonic Weyl tensor must be a finite quotient of a sphere. This result can be regarded as the Sasaki analogue of the work of Munteanu and Sesum [15] on Ricci solitons.