@article{dd643d2a163e415dbf395ff0e43c824e,
title = "Collapsed manifolds with ricci bounded covering geometry",
abstract = "We study collapsed manifolds with Ricci bounded covering geometry, i.e., Ricci curvature is bounded below and the Riemannian universal cover is non-collapsed or consists of uniform Reifenberg points. Applying the techniques in the Ricci flow, we partially extend the nilpotent structural results of Cheeger-Fukaya-Gromov, on the collapsed manifolds with (sectional curvature) local bounded covering geometry, to the manifolds with (global) Ricci bounded covering geometry. ",
author = "HONGZHI HUANG and LINGLING KONG and XIAOCHUN RONG and SHICHENG XU",
note = "Funding Information: Received by the editors August 11,2018, and, in revised form, March 10, 2020, and March 17, 2020. 2010 Mathematics Subject Classification. Primary 53C21, 53C23, 53C24. Linling Kong is the corresponding author. The second author was supported partially by NSFC Grant 11671070, 11201058 and FRFCU Grant 2412017FZ002. The third author was partially supported by NSFC Grant 11821101, Beijing Natural Science Foundation Z19003, and a research fund from Capital Normal University. The fourth author was partially supported by NSFC Grant 11821101, 11871349 and by Youth Innovative Research Team of Capital Normal University. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",
year = "2020",
doi = "10.1090/TRAN/8177",
language = "English (US)",
volume = "373",
pages = "8039--8057",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "11",
}