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Kählerity of shrinking gradient Ricci solitons asymptotic to Kähler cones

Published 30 Jan 2017 in math.DG | (1701.08486v2)

Abstract: We prove that a shrinking gradient Ricci soliton which is asymptotic to a K\"ahler cone along some end is itself K\"ahler on some neighborhood of infinity of that end. When the shrinker is complete, it is globally K\"ahler.

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