Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

On the double curves of least area tori

Author(s): Max Neumann-Coto
Journal: Proc. Amer. Math. Soc. 125 (1997), 2463-2469.
MSC (1991): Primary 57M60, 57R45
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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:

1.: A.Casson, The Torus Theorem, notes from a talk.
2.: M.Freedman, J.Hass, P.Scott, Least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (1983), 609-642. MR 85e:57012
3.: R.Gulliver, P.Scott Least area surfaces can have excess triple points, Topology 26-3 (1987), 345-359. MR 88k:57018
4.: M.Neumann-Coto Least area and minimal intersection of immersed surfaces, in preparation.


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS