Constant mean curvature immersions of annular type

  • Henry C. Wente (Toledo)
A3 01 (Sophus-Lie room)


We construct cmc immersions of annular type spanning a pair of oriented rectifiable Jordan curves by solving an appropriate volume-constrained Douglas Problem. We focus on the case where the boundary curves are circles. In particular, we show that solutions of large volume become spherical. There is a bubbling off phenomena.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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