Abstract

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 S^{m+n} with R i c ≥ 1 Ric\ge 1 such that its Gromov-Hausdorff limit is the n n -dimensional Grushin hemisphere.

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