Invariant Solutions to the Oriented Plateau Problem of Maximal Codimension
Invariant Solutions to the Oriented Plateau Problem of Maximal Codimension
The principal result gives conditions which imply that a solution to the Plateau problem inherits the symmetries of its boundary. Specifically, let G be a compact connected Lie subgroup of ${\text {SO}}(n)$. Assume the principal orbits have dimension m, there are no exceptional orbits and the distribution of $(n - …