Alexandrov immersed minimal tori in S^3

Abstract

We show that any minimal torus in $S^3$ which is Alexandrov immersed must be rotationally symmetric. An analogous result holds for surfaces of constant mean curvature.

Final version

References in corpus (1)

• Embedded constant mean curvature tori in the three-sphere

Cited by in corpus (2)

• Embedded Weingarten tori in S^3
• Minimal surfaces in S^3: a survey of recent results