On mean-convex Alexandrov embedded surfaces in the 3-sphere

Abstract

We consider mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.

arXiv admin note: substantial text overlap with arXiv:1309.4278

Cited by in corpus (2)

• Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere
• Properly embedded minimal annuli in ${\mathbb{S}}^2\times \mathbb{R}$