Article citationsMore>>

Mahaman, B. (2000) A Volume Comparison Theorem and Number of Ends for Manifolds with Asymptotically Nonnegative Ricci Curvature. Revista Matemática Complutense, 13, 399-409.

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.