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math.DG2026
Energy convexity and uniformity of the -surface flow in with Dirichlet boundary condition
Da Rong Cheng, Longzhi Lin, Xin Zhou
We prove that the energy functional associated with surfaces of prescribed mean curvature in exhibits a convexity property when restricted to maps from the unit -…
math.DG2026
Existence of classical minimal surfaces in and -manifolds
Da Rong Cheng, Xin Zhou
We prove that every closed Riemannian or -manifold contains a branched immersed closed minimal surface. That is, there exists a non-constant weakly conformal harmonic ma…