Ricci-Bourguignon flow on an open surface

Document Type : Research Paper

Author

Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

Abstract

In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable. In particular, if the initial metric is complete then the metrics converge to the standard hyperbolic metric.

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References

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Journal of Mahani Mathematical Research
Volume 13, Issue 1 - Serial Number 26
November 2023
Pages 159-165

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History

  • Receive Date: 30 October 2022
  • Revise Date: 13 April 2023
  • Accept Date: 17 May 2023

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