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

 

Least area tori in $ 3$-manifolds


Authors: G. P. Scott and G. A. Swarup
Journal: Proc. Amer. Math. Soc. 116 (1992), 1143-1151
MSC: Primary 57N10; Secondary 53A10, 53C42
MathSciNet review: 1131040
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Abstract: We consider incompressible maps of the torus into a $ 3$-manifold that have least possible area among all such maps. We show that such a map must be an embedding in many cases.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1131040-0
PII: S 0002-9939(1992)1131040-0
Article copyright: © Copyright 1992 American Mathematical Society