While it is well known from examples that no interesting “halfspace theorem” holds for
properly immersed-dimensional self-translating mean curvature flow solitons in Euclidean …

In this paper, we prove a general halfspace theorem for constant mean curvature surfaces.
Under certain hypotheses, we prove that, in an ambient space $ M^ 3$, any constant mean …

A half-space theorem for graphs of constant mean curvature 0<H<1/2 in H2xR Page 1 Illinois
Journal of Mathematics Volume 59, Number 1, Spring 2015, Pages 43–53 S 0019-2082 A …

EXISTENCE OF VERTICAL ENDS OF MEAN CURVATURE 1/2 IN H2 × R 1. Introduction In this
paper, we prove the existence of vertical gr Page 1 TRANSACTIONS OF THE AMERICAN …

In the homogeneous manifold $\mathbb {E}(-1,\tau), $ for $0< H<\tfrac {1}{2}, $ we prove the
existence of entire $ H $-graphs which are asymptotic to a rectifiable curve of the asymptotic …

In this paper, we prove a half-space theorem with respect to constant mean curvature 1/2
entire graphs in E (-1, τ) E (-1, τ). If Σ Σ is such an entire graph and Σ'Σ′ is a properly …

We prove that a properly embedded annular end of a surface in H2 R with constant mean
curvature 0< H Ä 1= 2 can not be contained in any horizontal slab. Moreover, we show that a …

We prove a half-space theorem for an ideal Scherk graph⊂ M× R over a polygonal domain
D⊂ M, where M is a Hadamard surface whose curvature is bounded above by a negative …

We study constant mean curvature 1/2 surfaces in H2xR that admit a compactification of the
mean curvature operator. We show that a particular family of complete entire graphs over H2 …

In this paper, we determine which half-space contains a complete translating soliton of the
mean curvature flow and it is related to the well-known half-space theorem for minimal …