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- W2952294121 abstract "We establish a curvature estimate for classical minimal surfaces with total boundary curvature less than 4pi. The main application is a bound on the genus of these surfaces depending solely on the geometry of the boundary curve. We also prove that the set of simple closed curves with total curvature less than 4pi and which do not bound an orientable compact embedded minimal surface of genus greater than g, for any given g, is open in the C^{2,alpha} topology." @default.
- W2952294121 created "2019-06-27" @default.
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- W2952294121 date "2007-12-10" @default.
- W2952294121 modified "2023-09-27" @default.
- W2952294121 title "Curvature estimates for minimal surfaces with total boundary curvature less than 4pi" @default.
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