论文标题

Grushin半球作为曲率$ \ ge 1 $的RICCI极限空间

The Grushin hemisphere as a Ricci limit space with curvature $\ge 1$

论文作者

Pan, Jiayin

论文摘要

Grushin Sphere是一种几乎是Riemannian的歧管,沿其赤道退化。我们在球体上构建了一系列Riemannian指标,$ s^{m+n} $,带有$ ric \ ge 1 $,以使其Gromov-Hausdorff限制是$ n $ dimensional grushin hemisphere。

The Grushin sphere is an almost-Riemannian manifold that degenerates along its equator. We construct a sequence of Riemannian metrics on a sphere $S^{m+n}$ with $Ric\ge 1$ such that its Gromov-Hausdorff limit is the $n$-dimensional Grushin hemisphere.

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