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math.DG2012
On minimal spheres of area and rigidity
Laurent Mazet, Harold Rosenberg
Let be a complete Riemannian -manifold with sectional curvatures between and . A minimal -sphere immersed in has area at least . If an embedded minimal sph…
math.DG2012
Cylindrically bounded constant mean curvature surfaces in
Laurent Mazet
In this paper we prove that a properly embedded constant mean curvature surface in which has finite topology and stays at a finite distance from a ve…