Abstract
We show that closed shrinking gradient Ricci solitons with positive Ricci curvature and sufficiently pinched Weyl tensor are Einstein. When Weyl tensor vanishes, this has been proved before but our proof here is much simpler.
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The first author was supported by National Natural Science Foundation of China (11301191). The second author was supported by MOST (MOST107-2115-M-110-007-MY2).
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Zhang, Z., Chen, CW. On Shrinking Gradient Ricci Solitons with Positive Ricci Curvature and Small Weyl Tensor. Acta Math Sci 39, 1235–1239 (2019). https://doi.org/10.1007/s10473-019-0503-0
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DOI: https://doi.org/10.1007/s10473-019-0503-0