F. Forstnerič

activity

19962026

most citedBordered Riemann surfaces in C^2

45 citations · 725 across the 116 of their papers we have counts for

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25 papers · 1 filter

math.DG2026

Families of proper minimal surfaces

Antonio Alarcon, Franc Forstneric

Assume that $X$ is a connected, open, oriented smooth surface, $B$ is a compact Euclidean neighbourhood retract, and $J = {J_{b}}_{b \in B}$ is a continuous family of comple…

math.DG2025

Removing singularities of minimal surfaces by isotopies

Antonio Alarcon, Franc Forstneric

Given an open Riemann surface $M$ , we show that the branch points and the complete ends of finite total curvature of a conformal minimal surface $M \to R^{n}$ , $n \geq 3$ , can…

math.DG2024

Isotopies of complete minimal surfaces of finite total curvature

Antonio Alarcon, Franc Forstneric, Finnur Larusson

Let $M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space $ℜ NC_{*} (M, C^{n})$ of real parts of nonflat proper…

math.DG2023

Minimal surfaces with symmetries

Franc Forstneric

Let $G$ be a finite group acting on a connected open Riemann surface $X$ by holomorphic automorphisms and acting on a Euclidean space $R^{n}$ $(n \geq 3)$ by orthogonal transfo…

math.DG2022

A parabolic minimal surface in R3 intersects every nonflat properly embedded minimal surface of bounded curvature

Franc Forstneric

We show that the image of a nonconstant conformal harmonic map $C \to R^{3}$ , not necessarily proper and possibly with branch points, intersects every properly embedde…

math.DG2022

Domains without parabolic minimal submanifolds and weakly hyperbolic domains

Franc Forstneric

We show that if $Ω$ is an $m$ -convex domain in $R^{n}$ for some $2 \leq m < n$ whose boundary $b Ω$ has a tubular neighbourhood of positive radius and is not $m$ -flat near infinit…