Minimal hulls of compact sets in $\mathbb {R}^3$

DOI10.1090/tran/6777zbMath1339.53004arXiv1409.6906OpenAlexW878803142MaRDI QIDQ2796099

Barbara Drinovec Drnovšek, Franc Forstnerič

Publication date: 23 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6906

zbMATH Keywords

minimal surfacesplurisubharmonic functionspositive currentspolynomial hullsholomorphic null curvesminimal hullsnull hulls

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Convex sets in (3) dimensions (including convex surfaces) (52A15) Plurisubharmonic functions and generalizations (32U05) Integration on analytic sets and spaces, currents (32C30)

Related Items (6)

Every smoothly bounded \(p\)-convex domain in \(\mathbb{R}^n\) admits a \(p\)-plurisubharmonic defining function ⋮ The Calabi-Yau problem, null curves, and Bryant surfaces ⋮ New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Minimal surfaces in minimally convex domains ⋮ Pfaff systems, currents and hulls

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