Bäcklund transformations (an introduction) and integrability in the theory of axially symmetric three-dimensional minimal hypersurfaces

 

Lectures on minimal 3-manifolds

 

I  Membrane Theory (a historical survey)

II  Explicit solutions (classification of separable minimal hypersurfaces, determinantal varieties, polynomial level-sets, self-similar solutions)

III  Bäcklund transformations (an introduction) and integrability in the theory of axially symmetric three-dimensional minimal hypersurfaces