We construct a family of compact free boundary minimal annuli immersed in the unit ball B3 of R3, the first such examples ...

We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten ...

For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, ...

We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in R3 ...

The aim of this work is to study Hopf’s theorem, a classical result which characterizes constant mean curvature spheres ...

The aim of this work is to give a detailed proof of two results from the theory of constant mean curvature surfaces: ...

We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3-space whose Gauss map image omits an open ...

We prove that any complete, uniformly ellipticWeingarten surface in Euclidean 3-space whose Gauss map image omits an open ...

We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian ...

We prove that for any open Riemann surface N, natural number N ≥ 3, non-constant harmonic map h:N→R N−2 and holomorphic ...

We prove that for any open Riemann surface N and any non constant harmonic function h : N → R, there exists a complete ...

In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper’s surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the Lorentz-Minkowski space R3

In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we ...

This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3-manifolds. These ...

We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a ...

Hopf’s theorem has been recently extended to compact genus zero surfaces with constant mean curvature H in a product space ...

We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannian left-invariant metric. ...

Following [Ch] and [dCF], we give sufficient conditions for a disk type surface, with piecewise smooth boundary, to be ...

The purpose of this paper is to briefly outline the uniqueness of the helicoid and Enneper's surface among maximal surfaces in the Lorentz-Minkowski space.

This paper offers a new proof of the fact that a certain diophantine equation associated to the natural number 16 has a ...

This is a sequel to “A theorem of H. Hopf and the Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper ...

A maximal surface S with isolated singularities in a complete flat Lorentzian 3-manifold N is said to be entire if it lifts ...

We introduce a hyperbolic Gauss map into the Poincar´e disk for any surface in H2×R with regular vertical projection, and ...

We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces ...

It has been recently shown by Abresch and Rosenberg that a cer- tain Hopf differential is holomorphic on every constant ...

We construct a large family of complete maximal surfaces in the static Robertson–Walker 3-spaces with negative base curvature. These examples provide a wide variety of non-standard foliations of such spaces by entire maximal graphs.

We prove that a complete embedded maximal surface in L3 with a finite number of sin- gularities is an entire maximal graph ...