Hyperbolic Ricci-Bourguignon flow

Document Type : Research Paper

Author

Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran.

Abstract

In this paper, we consider the hyperbolic Ricci-Bourguignon flow on a compact manifold M and show that this flow has a unique solution on short-time with imposing on initial conditions. After then, we find evolution equations for Riemannian curvature tensor, Ricci curvature tensor and scalar curvature of M under this flow. In the final section, we give some examples of this flow on some compact manifolds.

Keywords


Volume 9, Issue 2
April 2021
Pages 399-409
  • Receive Date: 23 June 2019
  • Revise Date: 05 January 2020
  • Accept Date: 02 February 2020
  • First Publish Date: 01 April 2021