Search Results for author: Da Rong Cheng

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Existence of constant mean curvature 2-spheres in Riemannian 3-spheres

no code implementations24 Dec 2020 Da Rong Cheng, Xin Zhou

We prove the existence of branched immersed constant mean curvature 2-spheres in an arbitrary Riemannian 3-sphere for almost every prescribed mean curvature, and moreover for all prescribed mean curvatures when the 3-sphere is positively curved.

Differential Geometry Analysis of PDEs

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