@article{ab0df8a564044d8abf75e59c7f5f41b3,
title = "On fundamental groups of positively curved manifolds with local torus actions",
abstract = "In this paper, we study the fundamental groups of closed manifolds of positive sectional curvature which admit compatible local isometric torus Tk-actions. We explore relations between basic properties of an isometric Tk-action and the structure of the fundamental group of M. Using these relations, we prove several results on the fundamental groups.",
keywords = "Isometric torus action and fundamental groups, Positive sectional curvature",
author = "Xiaochun Rong",
note = "Funding Information: †Current Address: Mathematics Department, Rutgers University New Brunswick, NJ 08903 USA (rong@math.rutgers.edu); Mathematics Department, Capital Normal University, Beijing, P.R.C. Supported partially by NSF Grant DMS 0203164 and by a research fund from Capital normal university. Funding Information: Mathematics Department, Capital Normal University, Beijing, P.R.C. Supported partially by NSF Grant DMS 0203164 and by a research fund from Capital normal university. Publisher Copyright: {\textcopyright} 2005 International Press.",
year = "2005",
doi = "10.4310/AJM.2005.v9.n4.a6",
language = "English (US)",
volume = "9",
pages = "545--560",
journal = "Asian Journal of Mathematics",
issn = "1093-6106",
publisher = "International Press of Boston, Inc.",
number = "4",
}