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Extensions of the Bonnet-Myers theorem

  • Date:2026-10-12
  • Hits:

  • Journal: 

    Advances in Geometry

  • Key Words: 

    Riemannian manifold; Ricci curvature; mean curvature; diameter; Bonnet–Myers theorem

  • Abstract: 

    In this paper, we present extensions of the classical Bonnet–Myers theorem for Riemannian manifolds with nonnegative Ricci curvature. Our results provide criteria for compactness and a method for estimating the diameter of such manifolds under general curvature conditions. As applications, we establish compactness theorems for manifolds whose Ricci curvature decays at polynomial or exponential rates.

  • Indexed by: 

    Journal paper

  • Volume: 

    26

  • Issue: 

    3

  • Page Number: 

    407–414

  • Translation or Not: 

    no

  • Date of Publication: 

    2026-07-28

  • Included Journals: 

    SCI
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