• Corpus ID: 236924414

# Rigidity of spherical product Ricci solitons

@inproceedings{Sun2021RigidityOS,
title={Rigidity of spherical product Ricci solitons},
author={Ao Sun and Jonathan J. Zhu},
year={2021}
}
• Published 5 August 2021
• Mathematics
We show that S × S is isolated as a shrinking Ricci soliton in the space of metrics, up to scaling and diffeomorphism. We also prove the same rigidity for S × N , where N belongs to a certain class of closed Einstein manifolds. These results are the Ricci flow analogues of our results for Clifford-type shrinking solitons for the mean curvature flow.
1 Citations

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