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arxiv: 1901.00044 · v1 · pith:SDBW6RPDnew · submitted 2018-12-31 · 🧮 math.DG

Isometries of asymptotically conical shrinking Ricci solitons

classification 🧮 math.DG
keywords conegroupisometriesisometryshrinkershrinkingalongasymptotic
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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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