Gradient Shrinking Sasaki-Ricci Solitons with Harmonic Weyl Tensor

Published 1 Sep 2025 in math.DG | (2509.01100v1)

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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