TY - JOUR ID - 10327 TI - Hyperbolic Ricci-Bourguignon flow JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Azami, Shahroud AD - Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran. Y1 - 2021 PY - 2021 VL - 9 IS - 2 SP - 399 EP - 409 KW - Geometric flow KW - Hyperbolic equation KW - Strictly hyperbolicity DO - 10.22034/cmde.2020.34205.1566 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_10327.html L1 - https://cmde.tabrizu.ac.ir/article_10327_4eed60752e4234f9632a77115adc98e9.pdf ER -