Higher Genus Doubly Periodic Minimal Surfaces

DOI10.1080/10586458.2016.1220339zbMath1387.53017arXiv1602.05254OpenAlexW2963617799MaRDI QIDQ5374128

Peter Connor

Publication date: 9 April 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05254

zbMATH Keywords

minimal surfacesWeierstrass data

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

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• The doubly periodic Costa surfaces
• The classification of doubly periodic minimal tori with parallel ends
• Embedded minimal surfaces derived from Scherk's examples
• The global theory of doubly periodic minimal surfaces
• Some existence and uniqueness theorems for doubly periodic minimal surfaces
• Classification of doubly-periodic minimal surfaces of genus zero
• Genus one Scherk surfaces and their limits
• Embedded, Doubly Periodic Minimal Surfaces
• The construction of doubly periodic minimal surfaces via balance equations
• Handle addition for doubly-periodic Scherk surfaces
• The space of embedded doubly-periodic minimal surfaces

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