Isometric
(unstretchable) limit accounts for singularities
These singularities
occur in general spatial dimensions
Two types:
vertices caused by conflict between confinement and bending
constraints
ridges: caused by mutual constraints of two vertices.
They occur
When a thin manifold
with an internal distance is confined
Elastic sheets
Fluid sheets:
viscosity resists rapid changes in internal distances
More general metric
manifolds?
How do these
singularities show up in real materials?
How big are they?,
what shape? how much energy?