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

J Math-for-Ind 4B (2012) 109-118 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 principle...

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Hauptverfasser: Rossman, Wayne, Yasumoto, Masashi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung:J Math-for-Ind 4B (2012) 109-118 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.
DOI:10.48550/arxiv.1208.4427