The Least Area Bounded by Multiples of a Curve

DOI10.2307/2045345zbMath0529.49023OpenAlexW4251726836MaRDI QIDQ3311206

Brian White

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045345

zbMATH Keywords

least areaintegral current

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Currents in global analysis (58A25)

Related Items

Size-minimizing rectifiable currents, The homological singularities of maps in trace spaces between manifolds, An upper gradient approach to weakly differentiable cochains, Quantitative nonorientability of embedded cycles, The Dirichlet integral for mappings between manifolds: Cartesian currents and homology, Minimal currents, geodesics, and relaxation of variational integrals on mappings of bounded variation, Bit threads and holographic entanglement, Calibrations modulo \(\nu\), The Plateau problem from the perspective of optimal transport

Cites Work

• Area-minimizing currents bounded by higher multiples of curves
• Unnamed Item