Ricci-Bourguignon Flow on Manifolds with Boundary

Hongbing Qiu; Anqiang Zhu

doi:10.1007/s11401-021-0299-9

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (6) : 953 -968. DOI: 10.1007/s11401-021-0299-9

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Ricci-Bourguignon Flow on Manifolds with Boundary

Hongbing Qiu ¹^,²
, Anqiang Zhu ¹^,²^,^b

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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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Hongbing Qiu, Anqiang Zhu. Ricci-Bourguignon Flow on Manifolds with Boundary. Chinese Annals of Mathematics, Series B, 2021, 42(6): 953-968 DOI:10.1007/s11401-021-0299-9

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