Tjasa Vrhovnik

activity

20232025

collaborators

3 papers

math.DG2025

Every nonflat conformal minimal surface is homotopic to a proper one

Tjasa Vrhovnik

Given an open Riemann surface $M$ , we prove that every nonflat conformal minimal immersion $M \to R^{n}$ ( $n \geq 3$ ) is homotopic through nonflat conformal minimal immersions…

math.DG2024

The Mittag-Leffler theorem for proper minimal surfaces and directed meromorphic curves

Antonio Alarcon, Tjasa Vrhovnik

We establish a Mittag-Leffler-type theorem with approximation and interpolation for meromorphic curves $M \to C^{n}$ ( $n \geq 3$ ) directed by Oka cones in $C^{n}$ on an…

math.CV2023

Complete meromorphic curves with Jordan boundaries

Tjasa Vrhovnik

We prove that given a finite set $E$ in a bordered Riemann surface $R$ , there is a continuous map $h : R ∖ E \to C^{n}$ ( $n \geq 2$ ) s…