K\"ahlerity of shrinking gradient Ricci solitons asymptotic to K\"ahler cones
classification
🧮 math.DG
keywords
ahlerasymptoticgradientriccishrinkingsomeahlerityalong
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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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