Azami, Shahroud2022-06-062022-06-062017-07-05Azami, S. (2017). Harmonic-hyperbolic geometric flow. Electronic Journal of Differential Equations, 2017(165), pp. 1-9.1072-6691https://hdl.handle.net/10877/15858In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time. After that, 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 closed manifolds.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalHyperbolic geometric flowQuasilinear hyperbolic equationStrict hyperbolicityArticle