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math.DG2021
A two-piece property for free boundary minimal hypersurfaces in the -dimensional ball
Vanderson Lima, Ana Menezes
We prove that every hyperplane passing through the origin in $\rr^{n+1}$ divides an embedded compact free boundary minimal hypersurface of the euclidean -ball in exactly two…
math.DG2021★ 1 cited
Slab Theorem and Halfspace Theorem for constant mean curvature surfaces in
Laurent Hauswirth, Ana Menezes, Magdalena Rodriguez
We prove that a properly embedded annular end of a surface in with constant mean curvature can not be contained in any horizontal…