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Mathematics > Differential Geometry
Title: New exotic examples of Ricci limit spaces
(Submitted on 23 Apr 2024)
Abstract: For any integers $m\geqslant n\geqslant 3$, we construct a Ricci limit space $X_{m,n}$ such that for a fixed point, some tangent cones are $\mathbb{R}^m$ and some are $\mathbb{R}^n$. This is an improvement of Menguy's example.
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