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The structure of complete embedded surfaces with constant mean curvature

The structure of complete embedded surfaces with constant mean curvature

Meeks' Theorem: cylindrical-boundedness of annular endsIn [9] Meeks proved that a properly embedded MCl-annulus A -F(D\0) c R 3 must be cylindrically-bounded.The proof of the key lemma there used two difficult analytic results, namely, the construction of an auxiliary embedded minimal disk and a curvature estimate for that disk.In this …