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Incompressibility and least-area surfaces

Article ID Journal Published Year Pages File Type
4582569 Expositiones Mathematicae 2008 6 Pages PDF
Abstract
We show that if F is a smooth, closed, orientable surface embedded in a closed, orientable 3-manifold M such that for each Riemannian metric g on M, F is isotopic to a least-area surface F(g), then F is incompressible.
Keywords
Primary 57N10Minimal surfacesIncompressible surfaces
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Incompressibility and least-area surfaces
Authors
Siddhartha Gadgil,
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Expositiones Mathematicae
Journal: Expositiones Mathematicae
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