Lectures on Minimal Surfaces

2019/03/28 by Hoppe, Jens · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.12062

Abstract

Some elementary considerations are presented concerning Catenoids and their stability, separable minimal hypersurfaces, minimal surfaces obtainable by rotating shapes, determinantal varieties, minimal tori in S3, the minimality in Rnk of the ordered set of k orthogonal equal-length n-vectors, and U(1)-invariant minimal 3-manifolds.

Cited by

• The higher-order Henneberg-type minimal surfaces family in ℝ⁴
• Maximal translation surfaces in Lorentz-Minkowski space
• Rigidity of an overdetermined heat equation and minimal helicoids in space-forms

Related

• Minimal surfaces - variational theory and applications
• Minimal surfaces for undergraduates
• The min--max construction of minimal surfaces
• Singularities of minimal submanifolds
• Singular minimal surfaces which are minimal