5 papers
Calabi-Yau Conjecture for Minimal Hypersurfaces in with bounded geometry
Shrey Aryan, Alexander D. McWeeney, Giuseppe Tinaglia
The Calabi-Yau conjectures for complete minimal hypersurfaces for ask whether a complete minimal hypersurface must be unbounded, and more…
Translators Asymptotic to Planes
Stephen Lynch, Giuseppe Tinaglia
We prove that a vertical plane is the only complete translator, properly immersed in and having finite topology, whose ends are asymptotic to vertical planes.
Half-space type theorems for a class of weighted minimal surfaces in
A. L. MartÃnez-Triviño, J. P. dos Santos, G. Tinaglia
We establish half-space type results for a class of height-dependent weighted minimal surfaces in , namely critical points of a weighted area functional whose weight…
On the geometry of the asymptotic boundary of translators in
Giuseppe Pipoli, Joao Paulo dos Santos, Giuseppe Tinaglia
In this work, we study complete properly immersed translators in the product space , focusing on their asymptotic behavior at infinity. We classify the…
Radius estimates for nearly stable H-hypersurfaces of dimension 2, 3, and 4
Giuseppe Tinaglia, Alex Zhou
In this paper we study the geometry of complete constant mean curvature (CMC) hypersurfaces immersed in an (n + 1)-dimensional Riemannian manifold N (n = 2, 3 and 4) with sectional…