English

Lectures on Minimal Surfaces

Differential Geometry 2019-09-30 v2

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.

Keywords

Cite

@article{arxiv.1903.12062,
  title  = {Lectures on Minimal Surfaces},
  author = {Jens Hoppe},
  journal= {arXiv preprint arXiv:1903.12062},
  year   = {2019}
}

Comments

A chapter on U(1) invariant minimal 3-manifolds and a subsection on determinantal varieties added

R2 v1 2026-06-23T08:22:17.559Z