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Minimal surfaces and
Heegaard splittings of the three-torus
Charles Dale Frohman |
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Vol. 124 (1986), No. 1, 119–130
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Abstract |
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An unknotting criterion for proper arcs in F × I is proved. This is then applied to show the topological uniqueness of least genus one-sided Heegaard splittings of the three-torus and of genus three two-sided minimal surfaces in a flat three-torus. |
Mathematical Subject Classification 2000
Primary: 57N35
Secondary: 53C42
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Milestones
Received: 20 April 1985
Published: 1 September 1986
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Authors |
| Charles Dale Frohman | |
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