Article citationsMore>>

Tadano, H. (2016) Remark on a Diameter Bound for Complete Riemannian Manifolds with Positive Bakry-émery Ricci Curvature. Differential Geometry and Its Applications, 44, 136-143.
http://dx.doi.org/10.1016/j.difgeo.2015.11.001

has been cited by the following article:

• TITLE: Manifolds with Bakry-Emery Ricci Curvature Bounded Below

  AUTHORS: Issa Allassane Kaboye, Bazanfaré Mahaman

  KEYWORDS: Bakry Émery Ricci Curvature, Myers Theorem, Volume Comparison Theorem, Topological Rigidity Theorem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.11, October 17, 2016

  ABSTRACT: In this paper we show that, under some conditions, if M is a manifold with Bakry-émery 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-émery Ricci curvature which allows us to prove a topolological rigidity theorem for such manifolds.