Author:
Pinkall Ulrich,Gross Oliver
Abstract
AbstractThe analog for a surface $$f\colon M\to \mathbb {R}^3$$
f
:
M
→
ℝ
3
of the bending energy $$\int _a^b\kappa ^2\,ds$$
∫
a
b
κ
2
d
s
is the Willmore functional$$W(f)=\int _M H^2\det $$
W
(
f
)
=
∫
M
H
2
det
.
Publisher
Springer International Publishing