GeometrieWerkstatt Gallery
Willmore Surfaces
Hopf Tori
Willmore Tori
Constrained
Equivariant Willmore Tori
Willmore tori in the 3-sphere
These tori were discovered by by Dirk Ferus and Franz Pedit in 1990 [
1
,
2
].
3-lobed equivariant Willmore torus
4-lobed equivariant Willmore torus
6-lobed equivariant Willmore torus
12-lobed equivariant Willmore torus
References
D. Ferus and F. Pedit
,
S
1
-equivariant minimal tori in
S
4
and
S
1
-equivariant Willmore tori in
S
3
,
Math. Z.
204
(1990)
,
no. 2
,
269—282
[
1055991
].
U. Pinkall
,
Hopf tori in
S
3
,
Invent. Math.
81
(1985)
,
no. 2
,
379—386
[
799274
].
