@article{053f4af1321447219606b6d90d606f77,
title = "K{\"a}hlerity of Shrinking Gradient Ricci Solitons Asymptotic to K{\"a}hler Cones",
abstract = "We prove that a shrinking gradient Ricci soliton which is asymptotic to a K{\"a}hler cone along some end is itself K{\"a}hler on some neighborhood of infinity of that end. When the shrinker is complete, it is globally K{\"a}hler.",
keywords = "K{\"a}hlerity, Ricci flow, Ricci solitons",
author = "Brett Kotschwar",
note = "Funding Information: Acknowledgements The author would like to thank Ben Chow and Will Wylie for useful discussions, and to acknowledge the substantial contribution of Lu Wang to this work through her joint project [14] with the author. The author was partially supported by Simons Foundation Grant #359335 Publisher Copyright: {\textcopyright} 2017, Mathematica Josephina, Inc.",
year = "2018",
month = jul,
day = "1",
doi = "10.1007/s12220-017-9922-0",
language = "English (US)",
volume = "28",
pages = "2609--2623",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "3",
}