Unstable minimal surfaces and Heegaard splittings

DOI10.1007/BF01393888zbMath0678.57009OpenAlexW1981560784MaRDI QIDQ1124173

Joel Hass, Charles D. Frohman

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/143664

zbMATH Keywords

3-torusexistence of an unstable minimal surfacegenus four minimal surface in the 3-torusgenus three Heegaard splittingHeegaard surface for a 3- manifold

Mathematics Subject Classification ID

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

Related Items

Circular characteristics and fibrations of hyperbolic closed 3-manifolds, Heegaard surfaces in Haken 3-manifolds, The maximally symmetric surfaces in the 3-torus, Detecting surface bundles in finite covers of hyperbolic closed 3-manifolds, The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³, Some existence and uniqueness theorems for doubly periodic minimal surfaces, Genus bounds for minimal surfaces arising from min-max constructions, An introduction to the Abelian Reidemeister torsion of three-dimensional manifolds, Heegaard splittings of \((\text{surface})\times I\) are standard

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