Two flat structures on minimal surfaces

2018/02/21 by Lee, Hojoo
#49Q05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.08169

Abstract

In this expository article, we illustrate how two independent flat structures on minimal surfaces induce a harmonic function, which captures the uniqueness of Enneper's surface.

Related

• Minimal Surface Linear Combinatoin Theorem
• Uniqueness of minimal surfaces, Jacobi fields, and flat structures
• The uniqueness of the Enneper surfaces and Chern-Ricci functions on minimal surfaces
• The number of minimal surfaces bounded by Enneper's wire
• Minimal surfaces over harmonic shears