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Isometries of asymptotically conical shrinking Ricci solitons

Research output: Contribution to journal › Article › peer-review

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.

Original languageEnglish (US)
Pages (from-to)1-19
Number of pages19
JournalCommunications in Analysis and Geometry
Volume32
Issue number1
DOIs
StatePublished - 2024

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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