Add to ORKGAbstract.-We prove that if a nonflat properly immersed minimal surface lies above a sub-linear graph (i.e. it is contained in the region {x3> −(x21+x22)α/2} with 0 < α < 1) and its Gauss map is contained in an open hyperbolic subset of the sphere, then M is parabolic in the sense that bounded harmonic functions on M are determined by their boundary values. This result applies to proper minimal graphs lying above a sublinear graph
In this paper, we estimate the Gauss curvature of Gaussian image of minimal surfaces in Rn(c), which...
Problems related to minimal maps are studied. In particular, we prove an existence result for the Di...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...
International audienceWe construct a parabolic entire minimal graph $S$ over a finite topology compl...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
International audienceWe study the Gauss map of minimal surfaces in the Heisenberg group Nil(3) endo...
We give a new approach to the study of relations between the Gauss map and compactness properties fo...
Abstract. We show that minimal graphs over nitely connected domains are parabolic. 1
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed ...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
Minkowski space of dimension 2+1 is the Lorentzian analogue of Euclidean 3-space. It is well-known t...
ABSTRACT. We prove that for a function f(zl,zs) defined on R2, the graph of Of is a minimal surface ...
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed ...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
In this paper, we estimate the Gauss curvature of Gaussian image of minimal surfaces in Rn(c), which...
Problems related to minimal maps are studied. In particular, we prove an existence result for the Di...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...
International audienceWe construct a parabolic entire minimal graph $S$ over a finite topology compl...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
International audienceWe study the Gauss map of minimal surfaces in the Heisenberg group Nil(3) endo...
We give a new approach to the study of relations between the Gauss map and compactness properties fo...
Abstract. We show that minimal graphs over nitely connected domains are parabolic. 1
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed ...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
Minkowski space of dimension 2+1 is the Lorentzian analogue of Euclidean 3-space. It is well-known t...
ABSTRACT. We prove that for a function f(zl,zs) defined on R2, the graph of Of is a minimal surface ...
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed ...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
In this paper, we estimate the Gauss curvature of Gaussian image of minimal surfaces in Rn(c), which...
Problems related to minimal maps are studied. In particular, we prove an existence result for the Di...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...