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.
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The deepest gratitude goes to the anonymous reviewers for their careful work and thoughtful suggestions that have helped improve this paper substantially.
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This work was supported by the National Natural Science Foundation of China (Nos. 11771339, 11971358, 11301400) and Hubei Provincial Natural Science Foundation of China.
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Qiu, H., Zhu, A. Ricci-Bourguignon Flow on Manifolds with Boundary. Chin. Ann. Math. Ser. B 42, 953–968 (2021). https://doi.org/10.1007/s11401-021-0299-9
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DOI: https://doi.org/10.1007/s11401-021-0299-9