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math.DG2007
Curvature estimates for minimal surfaces with total boundary curvature less than 4π
Giuseppe Tinaglia
We establish a curvature estimate for classical minimal surfaces with total boundary curvature less than 4π. The main application is a bound on the genus of these surfaces dependin…
math.DG2007
Structure theorems for embedded disks with mean curvature bounded in L^P
Giuseppe Tinaglia
After appropriate normalizations an embedded disk whose second fundamental form has large norm contains a multi-valued graph, provided the L^P norm of the mean curvature is suffici…