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arXiv · 1901.00044

Isometries of asymptotically conical shrinking Ricci solitons

Brett Kotschwar·Lu Wang
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Abstract

We show that if a shrinking soliton is asymptotic to a cone along an end then the isometry group of the cross-section of the cone embeds in the isometry group of the end of the shrinker. We also provide sufficient conditions for the isometries of the end to extend to the entire shrinker.

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Brett Kotschwar, Lu Wang. 2018-12-31. Isometries of asymptotically conical shrinking Ricci solitons. https://arxiv.org/abs/1901.00044

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