A non-K\"ahler expanding Ricci soliton with a K\"ahler tangent cone at infinity
Abstract
We construct an example of an asymptotically conical (AC) non-K\"ahler expanding gradient Ricci soliton that has a K\"ahler tangent cone at infinity. This yields an example of a K\"ahler cone that can be desingularised by a smooth AC expanding gradient Ricci soliton but not by a smooth AC expanding gradient K\"ahler--Ricci soliton.
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