Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor
Differential Geometry
2025-09-03 v1
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.
Keywords
Cite
@article{arxiv.2509.01100,
title = {Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor},
author = {Shu-Cheng Chang and Hongbing Qiu},
journal= {arXiv preprint arXiv:2509.01100},
year = {2025}
}