Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor

Shu-Cheng Chang; Hongbing Qiu

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arXiv · 2509.01100

Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor

Shu-Cheng Chang·Hongbing Qiu

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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.

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Shu-Cheng Chang, Hongbing Qiu. 2025-09-01. Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor. https://arxiv.org/abs/2509.01100

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