Vol. 152, No. 1, 1992

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Intersections of least area surfaces

Joel Hass

Vol. 152 (1992), No. 1, 119–123
Abstract

It is shown that hyperbolic 3-space contains an embedded curve γ with the property that any least area disk bounded by γ must intersect P. It follows that least area surfaces in 3-manifolds sometimes intersect more than topologically necessary.

Mathematical Subject Classification 2000
Primary: 53C42
Secondary: 53A10
Milestones
Received: 5 September 1990
Published: 1 January 1992
Authors
Joel Hass