This work considers the fundamental groups and diameters of positively Ricci curved Riemannian $n$-manifolds.
By combining the results of equivarient Hausdorff convergence with the Ricci version of a splitting theorem, some new
information on the topology of compact manifolds with positive Ricci curvature was discovered.
Moreover, a weak Margulis's lemma was also obtained for Riemannian manifolds with a lower Ricci curvature bound.
Publié le : 2006-09-14
Classification:
Ricci curvature,
diameter,
fundamental groups,
Margulis's lemma,
53C20
@article{1161350685,
author = {Chen, Wen-Haw and Wu, Jyh-Yang},
title = {Some new obstruction results for compact positively Ricci curved manifolds},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {12},
number = {5},
year = {2006},
pages = { 441-453},
language = {en},
url = {http://dml.mathdoc.fr/item/1161350685}
}
Chen, Wen-Haw; Wu, Jyh-Yang. Some new obstruction results for compact positively Ricci curved manifolds. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp. 441-453. http://gdmltest.u-ga.fr/item/1161350685/