Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NEW VOLUME COMPARISON WITH ALMOST RICCI SOLITON

  • azami, Shahroud (Department of Pure Mathematics Faculty of Science Imam Khomeini International University) ;
  • Hajiaghasi, Sakineh (Department of Pure Mathematics Faculty of Science Imam Khomeini International University)
  • Received : 2021.03.19
  • Accepted : 2021.12.08
  • Published : 2022.07.31
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Abstract

In this paper we consider a condition on the Ricci curvature involving vector fields which enabled us to achieve new results for volume comparison and Laplacian comparison. These results in special case obtained with considering volume non-collapsing condition. Also, by applying this condition we get new results of volume comparison for almost Ricci solitons.

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References

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