Lectures on Minimal Surfaces

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.

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

References in corpus (1)

• Classical mechanics of minimal tori in S^3

Cited by in corpus (3)

• Another View on the Shape Equation for Strings
• Minimal Surfaces from Rigid Motions
• Stability of the classical catenoid and Darboux-Pöschl-Teller potentials