%0 Journal Article
%T Manifolds with Bakry-Emery Ricci Curvature Bounded Below
%A Issa Allassane Kaboye
%A Bazanfar¨¦ Mahaman
%J Advances in Pure Mathematics
%P 754-764
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.611061
%X In this paper we show that, under some conditions, if <em>M</em> is a manifold with Bakry-¨¦mery Ricci curvature bounded below and with bounded potential function then M is compact. We also establish a volume comparison theorem for manifolds with nonnegative Bakry-¨¦mery Ricci curvature which allows us to prove a topolological rigidity theorem for such manifolds.
%K Bakry &#201
%K mery Ricci Curvature
%K Myers Theorem
%K Volume Comparison Theorem
%K Topological Rigidity Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=71242