The global theory of doubly periodic minimal surfaces

DOI10.1007/BF01389046zbMath0676.53068MaRDI QIDQ1122797

Harold Rosenberg, William Hamilton III Meeks

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143706

zbMATH Keywords

torusKlein bottlesnumber of endsembedded minimal surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Minimal surfaces bordered by four lines, On doubly periodic minimal surfaces in \(\mathbb H^2 \times\mathbb R\) with finite total curvature in the quotient space, Embedded minimal surfaces derived from Scherk's examples, The Asymptotic Behavior of Properly Embedded Minimal Surfaces of Finite Topology, The structure of singly-periodic minimal surfaces, Higher Genus Doubly Periodic Minimal Surfaces, The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds, The space of doubly periodic minimal tori with parallel ends: standard examples, On limits of triply periodic minimal surfaces, Some existence and uniqueness theorems for doubly periodic minimal surfaces, Minimal surfaces with only horizontal symmetries, The embedded singly periodic Scherk-Costa surfaces, Index one minimal surfaces in spherical space forms, An orthorhombic deformation family of Schwarz’ H surfaces, The strong halfspace theorem for minimal surfaces, Enneper immersions, The classical theory of minimal surfaces, The rigidity of embedded constant mean curvature surfaces, Harmonic shears of elliptic integrals, Minimal surfaces with the area growth of two planes: The case of infinite symmetry, Adding handles to the helicoid, Some uniqueness and nonexistence theorems for embedded minimal surfaces

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