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Ricci-Bourguignon Flow on Manifolds with Boundary
Authors:Qiu  Hongbing  Zhu  Anqiang
Institution:School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, 430072, China.; Corresponding author. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, 430072, China.
Abstract:The authors consider the short time existence for Ricci-Bourguignon flow on manifolds with boundary. If the initial metric has constant mean curvature and satisfies some compatibility conditions, they show the short time existence of the Ricci-Bourguignon flow with constant mean curvature on the boundary.
Keywords:Ricci-Bourguignon flow  Boundary value problem
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