Embedded, Doubly Periodic Minimal Surfaces

DOI10.1080/10586458.2000.10504646zbMath1031.53014arXiv0912.4964OpenAlexW2088886350MaRDI QIDQ2743870

Meinhard Wohlgemuth, Edward C. Thayer, Wayne Rossman

Publication date: 17 September 2001

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

Full work available at URL: https://arxiv.org/abs/0912.4964

zbMATH Keywords

embedded doubly periodic minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Higher Genus Doubly Periodic Minimal Surfaces

Cites Work

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• The maximum principle at infinity for minimal surfaces in flat three manifolds
• Minimal surfaces bounded by convex curves in parallel planes
• The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
• Some existence and uniqueness theorems for doubly periodic minimal surfaces
• Minimal surfaces of higher genus with finite total curvature
• On the Size of a Stable Minimal Surface in R 3

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