On low-dimensional Ricci limit spaces
نویسندگان
چکیده
منابع مشابه
On Low Dimensional Ricci Limit Spaces
We call a Gromov-Hausdorff limit of complete Riemannian manifolds with a lower bound of Ricci curvature a Ricci limit space. In this paper, we prove that any Ricci limit space has integral Hausdorff dimension provided that its Hausdorff dimension is not greater than two. We also classify one-dimensional Ricci limit spaces.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2013
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000010667