A lemma on the minimal surfaces

2000/05/14 by I. V. Bayak, Bayak, I. V.
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.math/0005141

PostScript, 2 pages

arxiv created 2000/05/14 · arxiv updated 2009/11/30

Abstract

Stated lemma contains the assertions about isomorphism of exact m-forms and exterior differentials of regular m-maps, of linearly harmonic m-forms and exterior differentials of regular harmonic m-maps, of global minimal (n-m)-surfaces and level (n-m)-surfaces of regular minimal m-maps. It hold in n-dimensional Euclidean space.

Related

• Lectures on Minimal Surfaces
• Another property of minimal surfaces in Euclidean space
• Minimal Surfaces in the Four-Dimensional Euclidean Space
• Algebraic approximation and the Mittag-Leffler theorem for minimal\n surfaces
• Minimal surfaces and the new main inequality