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- W2951109700 abstract "In (the surface of) a convex polytope P^3 in R^4, an area-minimizing surface avoids the vertices of P and crosses the edges orthogonally. In a smooth Riemannian manifold M with a group of isometries G, an area-minimizing G-invariant oriented hypersurface is smooth (except for a very small singular set in high dimensions). Already in 3D, area-minimizing G-invariant unoriented surfaces can have certain singularities, such as three orthogonal sheets meeting at a point. We also treat other categories of surfaces such as rectifiable currents modulo nu and soap films." @default.
- W2951109700 created "2019-06-27" @default.
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- W2951109700 date "2004-04-27" @default.
- W2951109700 modified "2023-09-27" @default.
- W2951109700 title "Regularity of area-minimizing surfaces in 3D polytopes and of invariant hypersurfaces in R^n" @default.
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