Rigidity of compact surfaces in homogeneous 3-manifolds with constant mean curvature. (English) Zbl 1374.53068
Summary: In this paper, we establish a rigidity theorem for compact constant mean curvature surfaces of the Berger sphere in terms of the surfaces’ geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere.
MSC:
| 53C24 | Rigidity results |
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
