Circle-foliated surfaces with constant anisotropic mean curvature for the Dirichlet energy are either axially symmetric about the z-axis or belong to a new family of non-rotational examples extending the Riemann surfaces.
Jagy, Minimal hypersurfaces foliated by spheres,Michigan Math
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Circles-foliated stationary surfaces of the Dirichlet energy
Circle-foliated surfaces with constant anisotropic mean curvature for the Dirichlet energy are either axially symmetric about the z-axis or belong to a new family of non-rotational examples extending the Riemann surfaces.