4 citations · 7 across the 7 of their papers we have counts for
7 papers
The number of constant mean curvature isometric immersions of a surface
Brian Smyth, Giuseppe Tinaglia
In classical surface theory there are but few known examples of surfaces admitting nontrivial isometric deformations and fewer still non-simply-connected ones. We consider the isom…
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…
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…
Curvature estimates for minimal surfaces with total boundary curvature less than 4π
Giuseppe Tinaglia
We establish a curvature estimate for classical minimal surfaces with total boundary curvature less than 4π. The main application is a bound on the genus of these surfaces dependin…
Structure theorems for embedded disks with mean curvature bounded in L^P
Giuseppe Tinaglia
After appropriate normalizations an embedded disk whose second fundamental form has large norm contains a multi-valued graph, provided the L^P norm of the mean curvature is suffici…
A generalization of Rado's Theorem for almost graphical boundaries
Brian Dean, Giuseppe Tinaglia
In this paper, we prove a generalization of Rado's Theorem, a fundamental result of minimal surface theory, which says that minimal surfaces over a convex domain with graphical bou…