Scaling of minimal ridge
A. Lobkovsky, 1996
y
1: [f, f ]
= D2(G-1 c )
2: h2 D2 f
=. [(G-1 c) , f
]
rescaling:
rescale y, f, c by unknown powers of
h
y = ha y*, c = hb c*, f = hc f*
require that 1, 2
be finite as h ¨0 when written in * variables.
this determines a, b, c
eg a = 1/3.
Means ridge width µ h1/3
Two new scaling properties
emerge:
with distance from vertex
with bending angle a