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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the double curves of least area tori


Author: Max Neumann-Coto
Journal: Proc. Amer. Math. Soc. 125 (1997), 2463-2469
MSC (1991): Primary 57M60, 57R45
MathSciNet review: 1415336
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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.


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Additional Information

Max Neumann-Coto
Affiliation: Instituto de Matemáticas, UNAM, México D.F. 04510, Mexico
Email: max@math.unam.mx

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04071-9
PII: S 0002-9939(97)04071-9
Keywords: 3-manifolds, immersions, minimal surfaces
Received by editor(s): October 11, 1995
Communicated by: Ronald Stern
Article copyright: © Copyright 1997 American Mathematical Society