Convergence of Minimal Submanifolds to a Singular Variety
Robert Gulliver · Birkhäuser Boston eBooks · 1990
A sequence of minimal hypersurfaces M h is considered, whose varifold limit V is not a density-one smooth hypersurface. Six geometrical problems are outlined, with the idea of studying asymptotic behavior as h → ∞ in terms of additional structures on V . Variational limits for the Dirichlet integral are presented in some detail; the examples involve homogenization of manifolds. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.