Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids

Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids

We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids, determined from either variational or integrable systems principles. Finally, we state the shared p...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2012-08
Hauptverfasser: Rossman, Wayne, Yasumoto, Masashi
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean geometry
Minimal surfaces
Representations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids, determined from either variational or integrable systems principles. Finally, we state the shared properties that those various catenoids have.
ISSN:2331-8422