10 citations · 35 across the 9 of their papers we have counts for
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math.DG2008★ 1 cited
The Dynamics Theorem for CMC surfaces in R^3
William H. Meeks, Giuseppe Tinaglia
In this paper, we study the space of translational limits T(M) of a surface M properly embedded in R^3 with nonzero constant mean curvature and bounded second fundamental form. The…
math.DG2008★ 10 cited
Limit leaves of a CMC lamination are stable
William H. Meeks, Joaquin Perez, Antonio Ros
Suppose is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature. We prove that every limit leaf of is stable for the J…
math.DG2008★ 4 cited
The rigidity of embedded constant mean curvature surfaces
William H. Meeks, Giuseppe Tinaglia
We study the rigidity of complete, embedded constant mean curvature surfaces in R^3. Among other things, we prove that when such a surface has finite genus, then intrinsic isometri…