Add to ORKGIn this paper we describe the notion of an annular end of a Riemann surface being of finite type with respect to some harmonic function and prove some theoretical results relating the conformal structure of such an annular end to the level sets of the harmonic function. We then apply these results to understand and characterize properly immersed minimal surfaces in R3 of finite total curvature, in terms of their intersections with two nonparallel planes
Abstract. The concept of a conformal deformation has two natural extensions: quasiconformal and harm...
describe first the analytic structure of Riemann’s examples of singly-periodic minimal surfaces; we ...
Abstract. Let ρΣ = h(|z|2) be a metric in a Riemann surface Σ, where h is a positive real function. ...
This paper develops new tools for understanding surfaces with more than one end and infinite topolog...
AbstractWe define the notion of Bryant surfaces of finite type: an annular end of a Bryant surface i...
AbstractGiven two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded ...
Abstract. Embedded minimal surfaces of finite total curvature in R3 are reasonably well understood: ...
We consider harmonic immersions in $\mathbb{R}^d$ of compact Riemann surfaces with finitely many pun...
In this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic ty...
Abstract We describe first the analytic structure of Riemann's examples of singly-periodic mini...
For a long time it has been known that in a Euclidean space one can reflect a minimal surface across...
Abstract. In this paper we study conformal properties of properly embedded minimal surfaces in flat ...
.-We prove that the end of a complete embedded minimal surface in R 3 with infinite total curvatur...
International audienceWe prove that the end of a complete embedded minimal surface in R^3 with infin...
Unstable minimal surfaces are the unstable stationary points of the Dirichlet-Integral. In order to ...
Abstract. The concept of a conformal deformation has two natural extensions: quasiconformal and harm...
describe first the analytic structure of Riemann’s examples of singly-periodic minimal surfaces; we ...
Abstract. Let ρΣ = h(|z|2) be a metric in a Riemann surface Σ, where h is a positive real function. ...
This paper develops new tools for understanding surfaces with more than one end and infinite topolog...
AbstractWe define the notion of Bryant surfaces of finite type: an annular end of a Bryant surface i...
AbstractGiven two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded ...
Abstract. Embedded minimal surfaces of finite total curvature in R3 are reasonably well understood: ...
We consider harmonic immersions in $\mathbb{R}^d$ of compact Riemann surfaces with finitely many pun...
In this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic ty...
Abstract We describe first the analytic structure of Riemann's examples of singly-periodic mini...
For a long time it has been known that in a Euclidean space one can reflect a minimal surface across...
Abstract. In this paper we study conformal properties of properly embedded minimal surfaces in flat ...
.-We prove that the end of a complete embedded minimal surface in R 3 with infinite total curvatur...
International audienceWe prove that the end of a complete embedded minimal surface in R^3 with infin...
Unstable minimal surfaces are the unstable stationary points of the Dirichlet-Integral. In order to ...
Abstract. The concept of a conformal deformation has two natural extensions: quasiconformal and harm...
describe first the analytic structure of Riemann’s examples of singly-periodic minimal surfaces; we ...
Abstract. Let ρΣ = h(|z|2) be a metric in a Riemann surface Σ, where h is a positive real function. ...