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Showing 1 to 3 of 3 for “"Area-Minimizing"”.
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Area-minimizing equivariant cones and coflat calibrations
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1987
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Recovering a Riemannian Metric from Knowledge of the Areas of Properly-Embedded, Area-Minimizing Surfaces
… sufficiently thin, then knowledge of the least areas circumscribed by any simple closed curve γ ⊂ ∂M uniquely determines the metric. In fact, given the least area data for a much more restricted class of curves γ ⊂ ∂M, we uniquely determine the metric. We also prove a corresponding local result: …
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Geometric variational problems with cross-sectional constraints
… 2, we conclude the general existence of an area minimizing surface with given boundary on two parallel hyperplanes and the constraint that the intersection of the surface with each hyperplane parallel to these of the boundary encloses the same area. In Chapter 3, we study the area minimizing …