Ricci-Bourguignon Flow on Manifolds with Boundary

Citation:

Hongbing QIU,Anqiang ZHU.Ricci-Bourguignon Flow on Manifolds with Boundary[J].Chinese Annals of Mathematics B,2021,42(6):953~968
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Authors:

Hongbing QIU; Anqiang ZHU

Foundation:

National Natural Science Foundation of China (Nos. 11771339,11971358, 11301400)and Hubei Provincial Natural Science Foundation of 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

Classification:

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