| Naslov: | Minimal surfaces with symmetries |
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| Avtorji: | ID Forstnerič, Franc (Avtor) |
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| Datoteke: |  URL - Izvorni URL, za dostop obiščite https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/plms.12590
 PDF - Predstavitvena datoteka, prenos (483,34 KB)
MD5: DDCD746711142D30954B69AEDC137F4C
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | Let $G$ be a finite group acting on a connected open Riemann surface $X$ by holomorphic automorphisms and acting on a Euclidean space ${\mathbb R}^n$ $(n\ge 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a $G$-equivariant conformal minimal immersion $F:X\to{\mathbb R}^n$. We show in particular that such a map $F$ always exists if $G$ acts without fixed points on $X$. Furthermore, every finite group $G$ arises in this way for some open Riemann surface $X$ and $n=2|G|$. We obtain an analogous result for minimal surfaces having complete ends with finite total Gaussian curvature, and for discrete infinite groups acting on $X$ properly discontinuously and acting on ${\mathbb R}^n$ by rigid transformations. |
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| Ključne besede: | Riemann surfaces, minimal surfaces, G-equivariant conformal minimal immersion |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.03.2024 |
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| Leto izida: | 2024 |
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| Št. strani: | 32 str. |
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| Številčenje: | Vol. 128, iss. 3, [article no.] e12590 |
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| PID: | 20.500.12556/DiRROS-18392  |
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| UDK: | 517.5 |
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| ISSN pri članku: | 0024-6115 |
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| DOI: | 10.1112/plms.12590 |
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| COBISS.SI-ID: | 188644867 |
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| Opomba: |
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| Datum objave v DiRROS: | 13.03.2024 |
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| Število ogledov: | 480 |
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| Število prenosov: | 203 |
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| Metapodatki: |    |
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