The Grushin hemisphere as a Ricci limit space with curvature ≥1-Reference-Cited by-同舟云学术

The Grushin hemisphere as a Ricci limit space with curvature ≥1

Published:2023-03-24 Issue:6 Volume:10 Page:71-75
ISSN:2330-1511
Container-title:Proceedings of the American Mathematical Society, Series B
language:en
Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Pan Jiayin

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Link

https://www.ams.org/bproc/2023-10-06/S2330-1511-2023-00160-9/S2330-1511-2023-00160-9.pdf

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