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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
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All ruled surfaces in Euclidean space that are critical points of the Dirichlet energy are classified with explicit parametrizations.
citing papers explorer
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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.
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Classification of the ruled surfaces that are critical points of the Dirichlet energy
All ruled surfaces in Euclidean space that are critical points of the Dirichlet energy are classified with explicit parametrizations.