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

Shahroud Azami, Mehrad Mohammadi

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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DOI: https://doi.org/10.22342/jims.26.2.856.202-212

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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