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Showing 2008 · math.DGShow all
2 papers · 2 filters
math.DG2008
On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces
Wayne Rossman
Let be a polygonal Jordan curve in $\bfR^3$. We show that if satisfies certain conditions, then the least-area Douglas-Radó disk in $\bfR^3$ with boundary is unique and…
math.DG2008
Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space
Wayne Rossman
We describe local similarities and global differences between minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space. We also describe h…