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- W2949361431 abstract "In this paper we describe a procedure for refining the given triangulation of a 3-manifold that scales the PL-metric according to a given weight function while creating no new normal surfaces. It is known that an incompressible surface $F$ in a triangulated 3-manifold $M$ is isotopic to a normal surface that is of minimal PL-area in the isotopy class of $F$. Using the above scaling refinement we prove the converse. If $F$ is a surface in a closed 3-manifold $M$ such that for any triangulation $tau$ of $M$, $F$ is isotopic to a $tau$-normal surface $F(tau)$ that is of minimal PL-area in its isotopy class, then we show that $F$ is incompressible." @default.
- W2949361431 created "2019-06-27" @default.
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- W2949361431 date "2008-10-01" @default.
- W2949361431 modified "2023-09-27" @default.
- W2949361431 title "Incompressibility and normal minimal surfaces" @default.
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- W2949361431 hasPublicationYear "2008" @default.
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