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arXiv · 1701.08486

K\"ahlerity of shrinking gradient Ricci solitons asymptotic to K\"ahler cones

Brett Kotschwar
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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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Brett Kotschwar. 2017-01-30. K\"ahlerity of shrinking gradient Ricci solitons asymptotic to K\"ahler cones. https://doi.org/10.1007/s12220-017-9922-0

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