Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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MYERS' THEOREM FOR COMPLETE RIEMANNIAN HYPERSURFACES

  • Fatemi, Seyed Hamed (Department of Pure Mathematics Faculty of Math. Sciences Tarbiat Modares University)
  • Received : 2018.04.22
  • Accepted : 2018.10.24
  • Published : 2019.07.31
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Abstract

In this paper we study the Myers' theorem for orientable Riemannian hypersurfaces under some restrictions on the mean curvature, the second-order mean curvature, or the divergence of the shape operator and give some estimates for the diameter of such hypersurfaces.

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References

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