Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces

Mehrad Mohammadi (1) , Shahroud Azami (2)
(1) ,
(2) , Iran, Islamic Republic of

Abstract

We consider the hyperbolic Ricci-Bourguignon flow(HRBF) equation on Riemannian surfaces and we find a sufficient and necessary condition to this flow has global classical solution. Also, we show that the scalar curvature of the solution metric gij convergence to the flat curvature.

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Authors

Mehrad Mohammadi
Shahroud Azami
azami@sci.ikiu.ac.ir (Primary Contact)
Mohammadi, M., & Azami, S. (2020). Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces. Journal of the Indonesian Mathematical Society, 26(2), 202–212. https://doi.org/10.22342/jims.26.2.856.202-212
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