Ricci-Bourguignon Flow on Manifolds with Boundary

【Author】

Hongbing QIU;Anqiang ZHU;School of Mathematics and Statistics, Wuhan University;Hubei Key Laboratory of Computational Science, Wuhan University;

【Institution】

School of Mathematics and Statistics, Wuhan University;Hubei Key Laboratory of Computational Science, Wuhan University;

【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

References

To explore the background and basis of the node document

Springer Journals Database

Total: 7 articles

  • [1] Ying Shen, On Ricci deformation of a Riemannian metric on manifold with boundary., Pacific Journal of Mathematics,
  • [2] Giovanni Catino;;Lorenzo Mazzieri, Gradient Einstein solitons, Nonlinear Analysis,
  • [3] Peng Lu;;Jie Qing;;Yu Zheng, A note on conformal Ricci flow, Pacific Journal of Mathematics,
  • [4] Giovanni Catino;;Laura Cremaschi;;Zindine Djadli;;Carlo Mantegazza;;Lorenzo Mazzieri, The Ricci–Bourguignon flow, Pacific Journal of Mathematics,

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