A parametrized compactness theorem under bounded Ricci curvature

doi:10.1007/s11464-017-0676-6

Front. Math. China

2018, Vol. 13

Issue (1) : 67-85 https://doi.org/10.1007/s11464-017-0676-6

RESEARCH ARTICLE

A parametrized compactness theorem under bounded Ricci curvature

Xiang LI, Shicheng XU(

)

School of Mathematical Sciences, Capital Normal Universiy, Beijing 100048, China

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Abstract

We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter, and lower bounded injectivity radius.

Keywords Gromov-Hausdorff distance almost Riemannian submersion parametrized compactness fiber bundle

Corresponding Author(s): Shicheng XU

Issue Date: 12 January 2018

Cite this article:

Xiang LI,Shicheng XU. A parametrized compactness theorem under bounded Ricci curvature[J]. Front. Math. China, 2018, 13(1): 67-85.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-017-0676-6
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I1/67

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[1]	Xiaochun RONG, Shicheng XU. Stability of almost submetries[J]. Front Math Chin, 2011, 6(1): 137-154.

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