Liouville-type properties for embedded minimal surfaces

DOI10.4310/CAG.2006.v14.n4.a5zbMath1117.53009OpenAlexW2032229349MaRDI QIDQ862184

Joaquín Pérez, Antonio Ros, William Hamilton III Meeks

Publication date: 5 February 2007

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2006.v14.n4.a5

zbMATH Keywords

Brownian motionharmonic functionminimal surfaces\(a\)-stable surfacesflat three-manifolds

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

The dynamics theorem for properly embedded minimal surfaces, Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface, Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold, The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus, A martingale approach to minimal surfaces, The classical theory of minimal surfaces