On the double curves of least area tori
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- by Max Neumann-Coto PDF
- Proc. Amer. Math. Soc. 125 (1997), 2463-2469 Request permission
Abstract:
The double curves of least area immersions of the torus into closed, orientable, irreducible 3-manifolds are simple in the torus. A related result for other least area surfaces is given.References
- A.Casson, The Torus Theorem, notes from a talk.
- Michael Freedman, Joel Hass, and Peter Scott, Least area incompressible surfaces in $3$-manifolds, Invent. Math. 71 (1983), no. 3, 609–642. MR 695910, DOI 10.1007/BF02095997
- Robert Gulliver and Peter Scott, Least area surfaces can have excess triple points, Topology 26 (1987), no. 3, 345–359. MR 899054, DOI 10.1016/0040-9383(87)90006-1
- M.Neumann-Coto Least area and minimal intersection of immersed surfaces, in preparation.
Additional Information
- Max Neumann-Coto
- Affiliation: Instituto de Matemáticas, UNAM, México D.F. 04510, Mexico
- Email: max@math.unam.mx
- Received by editor(s): October 11, 1995
- Communicated by: Ronald Stern
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2463-2469
- MSC (1991): Primary 57M60, 57R45
- DOI: https://doi.org/10.1090/S0002-9939-97-04071-9
- MathSciNet review: 1415336